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Finding the Fourth Proportional to 3,898.12, 5,836.98 and 3,114.52

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Solution

The fourth proportional to 3,898.12, 5,836.98 and 3,114.52 is: 4,663.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.12 : 5,836.98 = 3,114.52 : x
  2. Step 2: Convert to fraction form
    3,898.12/5,836.98 = 3,114.52/x
  3. Step 3: Cross multiply
    3,898.12x = 5,836.98 × 3,114.52
  4. Step 4: Simplify right side
    3,898.12x = 18,179,390.95
  5. Step 5: Solve for x
    x = 18,179,390.95/3,898.12
  6. Step 6: Final answer
    x = 4,663.63

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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.