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Finding the Fourth Proportional to 3,987, 5,502.06 and 2,331

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Solution

The fourth proportional to 3,987, 5,502.06 and 2,331 is: 3,216.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987 : 5,502.06 = 2,331 : x
  2. Step 2: Convert to fraction form
    3,987/5,502.06 = 2,331/x
  3. Step 3: Cross multiply
    3,987x = 5,502.06 × 2,331
  4. Step 4: Simplify right side
    3,987x = 12,825,301.86
  5. Step 5: Solve for x
    x = 12,825,301.86/3,987
  6. Step 6: Final answer
    x = 3,216.78

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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.