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Finding the Fourth Proportional to 22,511.97, 31,063.80 and 12,439.80

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Solution

The fourth proportional to 22,511.97, 31,063.80 and 12,439.80 is: 17,165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,511.97 : 31,063.80 = 12,439.80 : x
  2. Step 2: Convert to fraction form
    22,511.97/31,063.80 = 12,439.80/x
  3. Step 3: Cross multiply
    22,511.97x = 31,063.80 × 12,439.80
  4. Step 4: Simplify right side
    22,511.97x = 386,427,459.24
  5. Step 5: Solve for x
    x = 386,427,459.24/22,511.97
  6. Step 6: Final answer
    x = 17,165.42

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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.