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Finding the Fourth Proportional to 12,831.57, 17,711.51 and 8,347.41

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Solution

The fourth proportional to 12,831.57, 17,711.51 and 8,347.41 is: 11,521.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.57 : 17,711.51 = 8,347.41 : x
  2. Step 2: Convert to fraction form
    12,831.57/17,711.51 = 8,347.41/x
  3. Step 3: Cross multiply
    12,831.57x = 17,711.51 × 8,347.41
  4. Step 4: Simplify right side
    12,831.57x = 147,845,193.95
  5. Step 5: Solve for x
    x = 147,845,193.95/12,831.57
  6. Step 6: Final answer
    x = 11,521.99

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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.