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Finding the Fourth Proportional to 2,882.68, 3,978.30 and 1,640.68

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Solution

The fourth proportional to 2,882.68, 3,978.30 and 1,640.68 is: 2,264.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.68 : 3,978.30 = 1,640.68 : x
  2. Step 2: Convert to fraction form
    2,882.68/3,978.30 = 1,640.68/x
  3. Step 3: Cross multiply
    2,882.68x = 3,978.30 × 1,640.68
  4. Step 4: Simplify right side
    2,882.68x = 6,527,117.24
  5. Step 5: Solve for x
    x = 6,527,117.24/2,882.68
  6. Step 6: Final answer
    x = 2,264.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.