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Finding the Fourth Proportional to 21,580.87, 32,375.70 and 9,100.90

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Solution

The fourth proportional to 21,580.87, 32,375.70 and 9,100.90 is: 13,653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,580.87 : 32,375.70 = 9,100.90 : x
  2. Step 2: Convert to fraction form
    21,580.87/32,375.70 = 9,100.90/x
  3. Step 3: Cross multiply
    21,580.87x = 32,375.70 × 9,100.90
  4. Step 4: Simplify right side
    21,580.87x = 294,648,008.13
  5. Step 5: Solve for x
    x = 294,648,008.13/21,580.87
  6. Step 6: Final answer
    x = 13,653.20

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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.