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Finding the Fourth Proportional to 6,123.29, 8,449.45 and 3,470.13

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Solution

The fourth proportional to 6,123.29, 8,449.45 and 3,470.13 is: 4,788.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.29 : 8,449.45 = 3,470.13 : x
  2. Step 2: Convert to fraction form
    6,123.29/8,449.45 = 3,470.13/x
  3. Step 3: Cross multiply
    6,123.29x = 8,449.45 × 3,470.13
  4. Step 4: Simplify right side
    6,123.29x = 29,320,689.93
  5. Step 5: Solve for x
    x = 29,320,689.93/6,123.29
  6. Step 6: Final answer
    x = 4,788.39

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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.