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Finding the Fourth Proportional to 14,796.76, 20,420.01 and 8,082.78

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Solution

The fourth proportional to 14,796.76, 20,420.01 and 8,082.78 is: 11,154.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,796.76 : 20,420.01 = 8,082.78 : x
  2. Step 2: Convert to fraction form
    14,796.76/20,420.01 = 8,082.78/x
  3. Step 3: Cross multiply
    14,796.76x = 20,420.01 × 8,082.78
  4. Step 4: Simplify right side
    14,796.76x = 165,050,448.43
  5. Step 5: Solve for x
    x = 165,050,448.43/14,796.76
  6. Step 6: Final answer
    x = 11,154.50

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Half scale
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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.