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Finding the Fourth Proportional to 3,964.38, 5,945.85 and 1,499.10

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Solution

The fourth proportional to 3,964.38, 5,945.85 and 1,499.10 is: 2,248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.38 : 5,945.85 = 1,499.10 : x
  2. Step 2: Convert to fraction form
    3,964.38/5,945.85 = 1,499.10/x
  3. Step 3: Cross multiply
    3,964.38x = 5,945.85 × 1,499.10
  4. Step 4: Simplify right side
    3,964.38x = 8,913,423.74
  5. Step 5: Solve for x
    x = 8,913,423.74/3,964.38
  6. Step 6: Final answer
    x = 2,248.38

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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.