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Finding the Fourth Proportional to 10,565.40, 14,608.08 and 9,253.20

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Solution

The fourth proportional to 10,565.40, 14,608.08 and 9,253.20 is: 12,793.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.40 : 14,608.08 = 9,253.20 : x
  2. Step 2: Convert to fraction form
    10,565.40/14,608.08 = 9,253.20/x
  3. Step 3: Cross multiply
    10,565.40x = 14,608.08 × 9,253.20
  4. Step 4: Simplify right side
    10,565.40x = 135,171,485.86
  5. Step 5: Solve for x
    x = 135,171,485.86/10,565.40
  6. Step 6: Final answer
    x = 12,793.79

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Double 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.