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Finding the Fourth Proportional to 15,000, 22,501.11 and 5,766

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Solution

The fourth proportional to 15,000, 22,501.11 and 5,766 is: 8,649.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,000 : 22,501.11 = 5,766 : x
  2. Step 2: Convert to fraction form
    15,000/22,501.11 = 5,766/x
  3. Step 3: Cross multiply
    15,000x = 22,501.11 × 5,766
  4. Step 4: Simplify right side
    15,000x = 129,741,400.26
  5. Step 5: Solve for x
    x = 129,741,400.26/15,000
  6. Step 6: Final answer
    x = 8,649.43

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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.