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Finding the Fourth Proportional to 12,831.03, 17,711.19 and 7,523.91

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Solution

The fourth proportional to 12,831.03, 17,711.19 and 7,523.91 is: 10,385.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.03 : 17,711.19 = 7,523.91 : x
  2. Step 2: Convert to fraction form
    12,831.03/17,711.19 = 7,523.91/x
  3. Step 3: Cross multiply
    12,831.03x = 17,711.19 × 7,523.91
  4. Step 4: Simplify right side
    12,831.03x = 133,257,399.55
  5. Step 5: Solve for x
    x = 133,257,399.55/12,831.03
  6. Step 6: Final answer
    x = 10,385.56

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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.