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Finding the Fourth Proportional to 22,385, 30,891.84 and 13,432.88

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Solution

The fourth proportional to 22,385, 30,891.84 and 13,432.88 is: 18,537.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,385 : 30,891.84 = 13,432.88 : x
  2. Step 2: Convert to fraction form
    22,385/30,891.84 = 13,432.88/x
  3. Step 3: Cross multiply
    22,385x = 30,891.84 × 13,432.88
  4. Step 4: Simplify right side
    22,385x = 414,966,379.70
  5. Step 5: Solve for x
    x = 414,966,379.70/22,385
  6. Step 6: Final answer
    x = 18,537.70

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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.