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Finding the Fourth Proportional to 7,691.69, 11,538.65 and 2,424.92

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Solution

The fourth proportional to 7,691.69, 11,538.65 and 2,424.92 is: 3,637.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.69 : 11,538.65 = 2,424.92 : x
  2. Step 2: Convert to fraction form
    7,691.69/11,538.65 = 2,424.92/x
  3. Step 3: Cross multiply
    7,691.69x = 11,538.65 × 2,424.92
  4. Step 4: Simplify right side
    7,691.69x = 27,980,303.16
  5. Step 5: Solve for x
    x = 27,980,303.16/7,691.69
  6. Step 6: Final answer
    x = 3,637.73

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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.