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Finding the Fourth Proportional to 7,071.42, 9,759.15 and 3,927.90

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Solution

The fourth proportional to 7,071.42, 9,759.15 and 3,927.90 is: 5,420.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.42 : 9,759.15 = 3,927.90 : x
  2. Step 2: Convert to fraction form
    7,071.42/9,759.15 = 3,927.90/x
  3. Step 3: Cross multiply
    7,071.42x = 9,759.15 × 3,927.90
  4. Step 4: Simplify right side
    7,071.42x = 38,332,965.29
  5. Step 5: Solve for x
    x = 38,332,965.29/7,071.42
  6. Step 6: Final answer
    x = 5,420.83

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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.