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Finding the Fourth Proportional to 3,255.03, 4,490.78 and 1,978.47

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Solution

The fourth proportional to 3,255.03, 4,490.78 and 1,978.47 is: 2,729.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.03 : 4,490.78 = 1,978.47 : x
  2. Step 2: Convert to fraction form
    3,255.03/4,490.78 = 1,978.47/x
  3. Step 3: Cross multiply
    3,255.03x = 4,490.78 × 1,978.47
  4. Step 4: Simplify right side
    3,255.03x = 8,884,863.61
  5. Step 5: Solve for x
    x = 8,884,863.61/3,255.03
  6. Step 6: Final answer
    x = 2,729.58

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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.