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Finding the Fourth Proportional to 21,633.87, 32,442.89 and 9,154.87

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Solution

The fourth proportional to 21,633.87, 32,442.89 and 9,154.87 is: 13,728.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,633.87 : 32,442.89 = 9,154.87 : x
  2. Step 2: Convert to fraction form
    21,633.87/32,442.89 = 9,154.87/x
  3. Step 3: Cross multiply
    21,633.87x = 32,442.89 × 9,154.87
  4. Step 4: Simplify right side
    21,633.87x = 297,010,560.35
  5. Step 5: Solve for x
    x = 297,010,560.35/21,633.87
  6. Step 6: Final answer
    x = 13,728.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.