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Finding the Fourth Proportional to 21,167.70, 31,751.55 and 13,731.90

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Solution

The fourth proportional to 21,167.70, 31,751.55 and 13,731.90 is: 20,597.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,167.70 : 31,751.55 = 13,731.90 : x
  2. Step 2: Convert to fraction form
    21,167.70/31,751.55 = 13,731.90/x
  3. Step 3: Cross multiply
    21,167.70x = 31,751.55 × 13,731.90
  4. Step 4: Simplify right side
    21,167.70x = 436,009,109.45
  5. Step 5: Solve for x
    x = 436,009,109.45/21,167.70
  6. Step 6: Final answer
    x = 20,597.85

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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.