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Finding the Fourth Proportional to 8,666.78, 13,001.25 and 2,821.82

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Solution

The fourth proportional to 8,666.78, 13,001.25 and 2,821.82 is: 4,233.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.78 : 13,001.25 = 2,821.82 : x
  2. Step 2: Convert to fraction form
    8,666.78/13,001.25 = 2,821.82/x
  3. Step 3: Cross multiply
    8,666.78x = 13,001.25 × 2,821.82
  4. Step 4: Simplify right side
    8,666.78x = 36,687,187.28
  5. Step 5: Solve for x
    x = 36,687,187.28/8,666.78
  6. Step 6: Final answer
    x = 4,233.08

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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.