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Finding the Fourth Proportional to 5,489.10, 8,233.65 and 4,905.90

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Solution

The fourth proportional to 5,489.10, 8,233.65 and 4,905.90 is: 7,358.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.10 : 8,233.65 = 4,905.90 : x
  2. Step 2: Convert to fraction form
    5,489.10/8,233.65 = 4,905.90/x
  3. Step 3: Cross multiply
    5,489.10x = 8,233.65 × 4,905.90
  4. Step 4: Simplify right side
    5,489.10x = 40,393,463.54
  5. Step 5: Solve for x
    x = 40,393,463.54/5,489.10
  6. Step 6: Final answer
    x = 7,358.85

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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.