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Finding the Fourth Proportional to 3,304.62, 4,560.12 and 1,978.02

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Solution

The fourth proportional to 3,304.62, 4,560.12 and 1,978.02 is: 2,729.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.62 : 4,560.12 = 1,978.02 : x
  2. Step 2: Convert to fraction form
    3,304.62/4,560.12 = 1,978.02/x
  3. Step 3: Cross multiply
    3,304.62x = 4,560.12 × 1,978.02
  4. Step 4: Simplify right side
    3,304.62x = 9,020,008.56
  5. Step 5: Solve for x
    x = 9,020,008.56/3,304.62
  6. Step 6: Final answer
    x = 2,729.51

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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.