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Finding the Fourth Proportional to 3,691.86, 5,083.11 and 3,131.16

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Solution

The fourth proportional to 3,691.86, 5,083.11 and 3,131.16 is: 4,311.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.86 : 5,083.11 = 3,131.16 : x
  2. Step 2: Convert to fraction form
    3,691.86/5,083.11 = 3,131.16/x
  3. Step 3: Cross multiply
    3,691.86x = 5,083.11 × 3,131.16
  4. Step 4: Simplify right side
    3,691.86x = 15,916,030.71
  5. Step 5: Solve for x
    x = 15,916,030.71/3,691.86
  6. Step 6: Final answer
    x = 4,311.11

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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.