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Finding the Fourth Proportional to 12,789.68, 17,649.71 and 7,124.50

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Solution

The fourth proportional to 12,789.68, 17,649.71 and 7,124.50 is: 9,831.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,789.68 : 17,649.71 = 7,124.50 : x
  2. Step 2: Convert to fraction form
    12,789.68/17,649.71 = 7,124.50/x
  3. Step 3: Cross multiply
    12,789.68x = 17,649.71 × 7,124.50
  4. Step 4: Simplify right side
    12,789.68x = 125,745,332.58
  5. Step 5: Solve for x
    x = 125,745,332.58/12,789.68
  6. Step 6: Final answer
    x = 9,831.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.