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Finding the Fourth Proportional to 15,546.38, 21,454 and 8,472.80

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Solution

The fourth proportional to 15,546.38, 21,454 and 8,472.80 is: 11,692.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,546.38 : 21,454 = 8,472.80 : x
  2. Step 2: Convert to fraction form
    15,546.38/21,454 = 8,472.80/x
  3. Step 3: Cross multiply
    15,546.38x = 21,454 × 8,472.80
  4. Step 4: Simplify right side
    15,546.38x = 181,775,451.20
  5. Step 5: Solve for x
    x = 181,775,451.20/15,546.38
  6. Step 6: Final answer
    x = 11,692.46

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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.