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Finding the Fourth Proportional to 5,630.76, 7,759.62 and 3,971.88

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Solution

The fourth proportional to 5,630.76, 7,759.62 and 3,971.88 is: 5,473.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.76 : 7,759.62 = 3,971.88 : x
  2. Step 2: Convert to fraction form
    5,630.76/7,759.62 = 3,971.88/x
  3. Step 3: Cross multiply
    5,630.76x = 7,759.62 × 3,971.88
  4. Step 4: Simplify right side
    5,630.76x = 30,820,279.49
  5. Step 5: Solve for x
    x = 30,820,279.49/5,630.76
  6. Step 6: Final answer
    x = 5,473.56

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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.