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Finding the Fourth Proportional to 15,891.50, 21,924.60 and 9,920.90

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Solution

The fourth proportional to 15,891.50, 21,924.60 and 9,920.90 is: 13,687.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.50 : 21,924.60 = 9,920.90 : x
  2. Step 2: Convert to fraction form
    15,891.50/21,924.60 = 9,920.90/x
  3. Step 3: Cross multiply
    15,891.50x = 21,924.60 × 9,920.90
  4. Step 4: Simplify right side
    15,891.50x = 217,511,764.14
  5. Step 5: Solve for x
    x = 217,511,764.14/15,891.50
  6. Step 6: Final answer
    x = 13,687.30

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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.