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Finding the Fourth Proportional to 3,409.65, 5,114.52 and 2,480.76

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Solution

The fourth proportional to 3,409.65, 5,114.52 and 2,480.76 is: 3,721.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.65 : 5,114.52 = 2,480.76 : x
  2. Step 2: Convert to fraction form
    3,409.65/5,114.52 = 2,480.76/x
  3. Step 3: Cross multiply
    3,409.65x = 5,114.52 × 2,480.76
  4. Step 4: Simplify right side
    3,409.65x = 12,687,896.64
  5. Step 5: Solve for x
    x = 12,687,896.64/3,409.65
  6. Step 6: Final answer
    x = 3,721.17

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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.