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Finding the Fourth Proportional to 4,617.27, 6,918.95 and 2,149.20

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Solution

The fourth proportional to 4,617.27, 6,918.95 and 2,149.20 is: 3,220.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.27 : 6,918.95 = 2,149.20 : x
  2. Step 2: Convert to fraction form
    4,617.27/6,918.95 = 2,149.20/x
  3. Step 3: Cross multiply
    4,617.27x = 6,918.95 × 2,149.20
  4. Step 4: Simplify right side
    4,617.27x = 14,870,212.71
  5. Step 5: Solve for x
    x = 14,870,212.71/4,617.27
  6. Step 6: Final answer
    x = 3,220.56

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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.