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Finding the Fourth Proportional to 12,137.43, 16,747.42 and 6,831.12

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Solution

The fourth proportional to 12,137.43, 16,747.42 and 6,831.12 is: 9,425.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.43 : 16,747.42 = 6,831.12 : x
  2. Step 2: Convert to fraction form
    12,137.43/16,747.42 = 6,831.12/x
  3. Step 3: Cross multiply
    12,137.43x = 16,747.42 × 6,831.12
  4. Step 4: Simplify right side
    12,137.43x = 114,403,635.71
  5. Step 5: Solve for x
    x = 114,403,635.71/12,137.43
  6. Step 6: Final answer
    x = 9,425.69

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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.