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Finding the Fourth Proportional to 10,002.40, 13,807.20 and 8,952.64

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Solution

The fourth proportional to 10,002.40, 13,807.20 and 8,952.64 is: 12,358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.40 : 13,807.20 = 8,952.64 : x
  2. Step 2: Convert to fraction form
    10,002.40/13,807.20 = 8,952.64/x
  3. Step 3: Cross multiply
    10,002.40x = 13,807.20 × 8,952.64
  4. Step 4: Simplify right side
    10,002.40x = 123,610,891.01
  5. Step 5: Solve for x
    x = 123,610,891.01/10,002.40
  6. Step 6: Final answer
    x = 12,358.12

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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.