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Finding the Fourth Proportional to 2,892.91, 4,340.13 and 1,660.75

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Solution

The fourth proportional to 2,892.91, 4,340.13 and 1,660.75 is: 2,491.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.91 : 4,340.13 = 1,660.75 : x
  2. Step 2: Convert to fraction form
    2,892.91/4,340.13 = 1,660.75/x
  3. Step 3: Cross multiply
    2,892.91x = 4,340.13 × 1,660.75
  4. Step 4: Simplify right side
    2,892.91x = 7,207,862.59
  5. Step 5: Solve for x
    x = 7,207,862.59/2,892.91
  6. Step 6: Final answer
    x = 2,491.56

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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.