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Finding the Fourth Proportional to 3,937, 5,434.02 and 2,281.96

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Solution

The fourth proportional to 3,937, 5,434.02 and 2,281.96 is: 3,149.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937 : 5,434.02 = 2,281.96 : x
  2. Step 2: Convert to fraction form
    3,937/5,434.02 = 2,281.96/x
  3. Step 3: Cross multiply
    3,937x = 5,434.02 × 2,281.96
  4. Step 4: Simplify right side
    3,937x = 12,400,216.28
  5. Step 5: Solve for x
    x = 12,400,216.28/3,937
  6. Step 6: Final answer
    x = 3,149.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.