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Finding the Fourth Proportional to 21,909.99, 32,861.75 and 8,055.75

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Solution

The fourth proportional to 21,909.99, 32,861.75 and 8,055.75 is: 12,082.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,909.99 : 32,861.75 = 8,055.75 : x
  2. Step 2: Convert to fraction form
    21,909.99/32,861.75 = 8,055.75/x
  3. Step 3: Cross multiply
    21,909.99x = 32,861.75 × 8,055.75
  4. Step 4: Simplify right side
    21,909.99x = 264,726,002.28
  5. Step 5: Solve for x
    x = 264,726,002.28/21,909.99
  6. Step 6: Final answer
    x = 12,082.43

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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.