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Finding the Fourth Proportional to 21,319.20, 31,921.20 and 16,711.20

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Solution

The fourth proportional to 21,319.20, 31,921.20 and 16,711.20 is: 25,021.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,319.20 : 31,921.20 = 16,711.20 : x
  2. Step 2: Convert to fraction form
    21,319.20/31,921.20 = 16,711.20/x
  3. Step 3: Cross multiply
    21,319.20x = 31,921.20 × 16,711.20
  4. Step 4: Simplify right side
    21,319.20x = 533,441,557.44
  5. Step 5: Solve for x
    x = 533,441,557.44/21,319.20
  6. Step 6: Final answer
    x = 25,021.65

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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.