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Finding the Fourth Proportional to 6,103.11, 8,422.89 and 3,712.89

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Solution

The fourth proportional to 6,103.11, 8,422.89 and 3,712.89 is: 5,124.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.11 : 8,422.89 = 3,712.89 : x
  2. Step 2: Convert to fraction form
    6,103.11/8,422.89 = 3,712.89/x
  3. Step 3: Cross multiply
    6,103.11x = 8,422.89 × 3,712.89
  4. Step 4: Simplify right side
    6,103.11x = 31,273,264.05
  5. Step 5: Solve for x
    x = 31,273,264.05/6,103.11
  6. Step 6: Final answer
    x = 5,124.15

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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.