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Finding the Fourth Proportional to 9,923.28, 13,691.28 and 6,387.60

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Solution

The fourth proportional to 9,923.28, 13,691.28 and 6,387.60 is: 8,813.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.28 : 13,691.28 = 6,387.60 : x
  2. Step 2: Convert to fraction form
    9,923.28/13,691.28 = 6,387.60/x
  3. Step 3: Cross multiply
    9,923.28x = 13,691.28 × 6,387.60
  4. Step 4: Simplify right side
    9,923.28x = 87,454,420.13
  5. Step 5: Solve for x
    x = 87,454,420.13/9,923.28
  6. Step 6: Final answer
    x = 8,813.06

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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.