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Finding the Fourth Proportional to 21,402.30, 32,139.90 and 15,205.80

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Solution

The fourth proportional to 21,402.30, 32,139.90 and 15,205.80 is: 22,834.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,402.30 : 32,139.90 = 15,205.80 : x
  2. Step 2: Convert to fraction form
    21,402.30/32,139.90 = 15,205.80/x
  3. Step 3: Cross multiply
    21,402.30x = 32,139.90 × 15,205.80
  4. Step 4: Simplify right side
    21,402.30x = 488,712,891.42
  5. Step 5: Solve for x
    x = 488,712,891.42/21,402.30
  6. Step 6: Final answer
    x = 22,834.60

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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.