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Finding the Fourth Proportional to 4,614.66, 6,909.66 and 2,418.78

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Solution

The fourth proportional to 4,614.66, 6,909.66 and 2,418.78 is: 3,621.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.66 : 6,909.66 = 2,418.78 : x
  2. Step 2: Convert to fraction form
    4,614.66/6,909.66 = 2,418.78/x
  3. Step 3: Cross multiply
    4,614.66x = 6,909.66 × 2,418.78
  4. Step 4: Simplify right side
    4,614.66x = 16,712,947.41
  5. Step 5: Solve for x
    x = 16,712,947.41/4,614.66
  6. Step 6: Final answer
    x = 3,621.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.