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Finding the Fourth Proportional to 22,515.66, 31,070.05 and 12,444

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Solution

The fourth proportional to 22,515.66, 31,070.05 and 12,444 is: 17,171.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,515.66 : 31,070.05 = 12,444 : x
  2. Step 2: Convert to fraction form
    22,515.66/31,070.05 = 12,444/x
  3. Step 3: Cross multiply
    22,515.66x = 31,070.05 × 12,444
  4. Step 4: Simplify right side
    22,515.66x = 386,635,702.20
  5. Step 5: Solve for x
    x = 386,635,702.20/22,515.66
  6. Step 6: Final answer
    x = 17,171.86

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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.