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Finding the Fourth Proportional to 5,778.90, 7,972.29 and 3,912.66

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Solution

The fourth proportional to 5,778.90, 7,972.29 and 3,912.66 is: 5,397.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.90 : 7,972.29 = 3,912.66 : x
  2. Step 2: Convert to fraction form
    5,778.90/7,972.29 = 3,912.66/x
  3. Step 3: Cross multiply
    5,778.90x = 7,972.29 × 3,912.66
  4. Step 4: Simplify right side
    5,778.90x = 31,192,860.19
  5. Step 5: Solve for x
    x = 31,192,860.19/5,778.90
  6. Step 6: Final answer
    x = 5,397.72

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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.