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Finding the Fourth Proportional to 9,843.50, 14,765.26 and 9,595.64

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Solution

The fourth proportional to 9,843.50, 14,765.26 and 9,595.64 is: 14,393.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.50 : 14,765.26 = 9,595.64 : x
  2. Step 2: Convert to fraction form
    9,843.50/14,765.26 = 9,595.64/x
  3. Step 3: Cross multiply
    9,843.50x = 14,765.26 × 9,595.64
  4. Step 4: Simplify right side
    9,843.50x = 141,682,119.47
  5. Step 5: Solve for x
    x = 141,682,119.47/9,843.50
  6. Step 6: Final answer
    x = 14,393.47

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.