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Finding the Fourth Proportional to 3,770.10, 5,656 and 1,304.96

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Solution

The fourth proportional to 3,770.10, 5,656 and 1,304.96 is: 1,957.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.10 : 5,656 = 1,304.96 : x
  2. Step 2: Convert to fraction form
    3,770.10/5,656 = 1,304.96/x
  3. Step 3: Cross multiply
    3,770.10x = 5,656 × 1,304.96
  4. Step 4: Simplify right side
    3,770.10x = 7,380,853.76
  5. Step 5: Solve for x
    x = 7,380,853.76/3,770.10
  6. Step 6: Final answer
    x = 1,957.73

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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.