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Finding the Fourth Proportional to 4,479, 6,685.63 and 4,149.13

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Solution

The fourth proportional to 4,479, 6,685.63 and 4,149.13 is: 6,193.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,479 : 6,685.63 = 4,149.13 : x
  2. Step 2: Convert to fraction form
    4,479/6,685.63 = 4,149.13/x
  3. Step 3: Cross multiply
    4,479x = 6,685.63 × 4,149.13
  4. Step 4: Simplify right side
    4,479x = 27,739,527.26
  5. Step 5: Solve for x
    x = 27,739,527.26/4,479
  6. Step 6: Final answer
    x = 6,193.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.