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Finding the Fourth Proportional to 22,515.72, 33,763.86 and 8,655

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Solution

The fourth proportional to 22,515.72, 33,763.86 and 8,655 is: 12,978.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,515.72 : 33,763.86 = 8,655 : x
  2. Step 2: Convert to fraction form
    22,515.72/33,763.86 = 8,655/x
  3. Step 3: Cross multiply
    22,515.72x = 33,763.86 × 8,655
  4. Step 4: Simplify right side
    22,515.72x = 292,226,208.30
  5. Step 5: Solve for x
    x = 292,226,208.30/22,515.72
  6. Step 6: Final answer
    x = 12,978.76

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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.