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Finding the Fourth Proportional to 14,712.83, 20,303.49 and 7,998.40

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Solution

The fourth proportional to 14,712.83, 20,303.49 and 7,998.40 is: 11,037.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,712.83 : 20,303.49 = 7,998.40 : x
  2. Step 2: Convert to fraction form
    14,712.83/20,303.49 = 7,998.40/x
  3. Step 3: Cross multiply
    14,712.83x = 20,303.49 × 7,998.40
  4. Step 4: Simplify right side
    14,712.83x = 162,395,434.42
  5. Step 5: Solve for x
    x = 162,395,434.42/14,712.83
  6. Step 6: Final answer
    x = 11,037.67

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.