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Finding the Fourth Proportional to 21,899.57, 32,851.17 and 9,419.90

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Solution

The fourth proportional to 21,899.57, 32,851.17 and 9,419.90 is: 14,130.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,899.57 : 32,851.17 = 9,419.90 : x
  2. Step 2: Convert to fraction form
    21,899.57/32,851.17 = 9,419.90/x
  3. Step 3: Cross multiply
    21,899.57x = 32,851.17 × 9,419.90
  4. Step 4: Simplify right side
    21,899.57x = 309,454,572.03
  5. Step 5: Solve for x
    x = 309,454,572.03/21,899.57
  6. Step 6: Final answer
    x = 14,130.63

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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.