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Finding the Fourth Proportional to 10,443.66, 15,665.07 and 3,424.20

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Solution

The fourth proportional to 10,443.66, 15,665.07 and 3,424.20 is: 5,136.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.66 : 15,665.07 = 3,424.20 : x
  2. Step 2: Convert to fraction form
    10,443.66/15,665.07 = 3,424.20/x
  3. Step 3: Cross multiply
    10,443.66x = 15,665.07 × 3,424.20
  4. Step 4: Simplify right side
    10,443.66x = 53,640,332.69
  5. Step 5: Solve for x
    x = 53,640,332.69/10,443.66
  6. Step 6: Final answer
    x = 5,136.16

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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.