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Finding the Fourth Proportional to 21,861.13, 32,788.20 and 7,818.54

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Solution

The fourth proportional to 21,861.13, 32,788.20 and 7,818.54 is: 11,726.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,861.13 : 32,788.20 = 7,818.54 : x
  2. Step 2: Convert to fraction form
    21,861.13/32,788.20 = 7,818.54/x
  3. Step 3: Cross multiply
    21,861.13x = 32,788.20 × 7,818.54
  4. Step 4: Simplify right side
    21,861.13x = 256,355,689.29
  5. Step 5: Solve for x
    x = 256,355,689.29/21,861.13
  6. Step 6: Final answer
    x = 11,726.55

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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.