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Finding the Fourth Proportional to 5,630.88, 7,770.96 and 3,146.88

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Solution

The fourth proportional to 5,630.88, 7,770.96 and 3,146.88 is: 4,342.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.88 : 7,770.96 = 3,146.88 : x
  2. Step 2: Convert to fraction form
    5,630.88/7,770.96 = 3,146.88/x
  3. Step 3: Cross multiply
    5,630.88x = 7,770.96 × 3,146.88
  4. Step 4: Simplify right side
    5,630.88x = 24,454,278.60
  5. Step 5: Solve for x
    x = 24,454,278.60/5,630.88
  6. Step 6: Final answer
    x = 4,342.89

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1.5x scale

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.