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Finding the Fourth Proportional to 21,489, 32,215.15 and 8,154.53

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Solution

The fourth proportional to 21,489, 32,215.15 and 8,154.53 is: 12,224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,489 : 32,215.15 = 8,154.53 : x
  2. Step 2: Convert to fraction form
    21,489/32,215.15 = 8,154.53/x
  3. Step 3: Cross multiply
    21,489x = 32,215.15 × 8,154.53
  4. Step 4: Simplify right side
    21,489x = 262,699,407.13
  5. Step 5: Solve for x
    x = 262,699,407.13/21,489
  6. Step 6: Final answer
    x = 12,224.83

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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.