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Finding the Fourth Proportional to 7,345.92, 11,013.12 and 3,881.28

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Solution

The fourth proportional to 7,345.92, 11,013.12 and 3,881.28 is: 5,818.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345.92 : 11,013.12 = 3,881.28 : x
  2. Step 2: Convert to fraction form
    7,345.92/11,013.12 = 3,881.28/x
  3. Step 3: Cross multiply
    7,345.92x = 11,013.12 × 3,881.28
  4. Step 4: Simplify right side
    7,345.92x = 42,745,002.39
  5. Step 5: Solve for x
    x = 42,745,002.39/7,345.92
  6. Step 6: Final answer
    x = 5,818.88

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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.