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Finding the Fourth Proportional to 1,640.27, 2,462.87 and 1,411.65

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Solution

The fourth proportional to 1,640.27, 2,462.87 and 1,411.65 is: 2,119.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.27 : 2,462.87 = 1,411.65 : x
  2. Step 2: Convert to fraction form
    1,640.27/2,462.87 = 1,411.65/x
  3. Step 3: Cross multiply
    1,640.27x = 2,462.87 × 1,411.65
  4. Step 4: Simplify right side
    1,640.27x = 3,476,710.44
  5. Step 5: Solve for x
    x = 3,476,710.44/1,640.27
  6. Step 6: Final answer
    x = 2,119.60

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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.