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Finding the Fourth Proportional to 15,806.88, 21,831.09 and 12,264.66

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Solution

The fourth proportional to 15,806.88, 21,831.09 and 12,264.66 is: 16,938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806.88 : 21,831.09 = 12,264.66 : x
  2. Step 2: Convert to fraction form
    15,806.88/21,831.09 = 12,264.66/x
  3. Step 3: Cross multiply
    15,806.88x = 21,831.09 × 12,264.66
  4. Step 4: Simplify right side
    15,806.88x = 267,750,960.21
  5. Step 5: Solve for x
    x = 267,750,960.21/15,806.88
  6. Step 6: Final answer
    x = 16,938.89

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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.