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Finding the Fourth Proportional to 21,092, 31,638.05 and 6,299.76

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Solution

The fourth proportional to 21,092, 31,638.05 and 6,299.76 is: 9,449.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,092 : 31,638.05 = 6,299.76 : x
  2. Step 2: Convert to fraction form
    21,092/31,638.05 = 6,299.76/x
  3. Step 3: Cross multiply
    21,092x = 31,638.05 × 6,299.76
  4. Step 4: Simplify right side
    21,092x = 199,312,121.87
  5. Step 5: Solve for x
    x = 199,312,121.87/21,092
  6. Step 6: Final answer
    x = 9,449.65

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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.