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Finding the Fourth Proportional to 8,822.02, 13,233.42 and 2,978.68

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Solution

The fourth proportional to 8,822.02, 13,233.42 and 2,978.68 is: 4,468.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,822.02 : 13,233.42 = 2,978.68 : x
  2. Step 2: Convert to fraction form
    8,822.02/13,233.42 = 2,978.68/x
  3. Step 3: Cross multiply
    8,822.02x = 13,233.42 × 2,978.68
  4. Step 4: Simplify right side
    8,822.02x = 39,418,123.49
  5. Step 5: Solve for x
    x = 39,418,123.49/8,822.02
  6. Step 6: Final answer
    x = 4,468.15

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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.