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Finding the Fourth Proportional to 9,842.40, 14,785.20 and 9,475.20

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Solution

The fourth proportional to 9,842.40, 14,785.20 and 9,475.20 is: 14,233.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.40 : 14,785.20 = 9,475.20 : x
  2. Step 2: Convert to fraction form
    9,842.40/14,785.20 = 9,475.20/x
  3. Step 3: Cross multiply
    9,842.40x = 14,785.20 × 9,475.20
  4. Step 4: Simplify right side
    9,842.40x = 140,092,727.04
  5. Step 5: Solve for x
    x = 140,092,727.04/9,842.40
  6. Step 6: Final answer
    x = 14,233.59

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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.