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Finding the Fourth Proportional to 5,728.88, 7,906.17 and 3,211.80

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Solution

The fourth proportional to 5,728.88, 7,906.17 and 3,211.80 is: 4,432.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.88 : 7,906.17 = 3,211.80 : x
  2. Step 2: Convert to fraction form
    5,728.88/7,906.17 = 3,211.80/x
  3. Step 3: Cross multiply
    5,728.88x = 7,906.17 × 3,211.80
  4. Step 4: Simplify right side
    5,728.88x = 25,393,036.81
  5. Step 5: Solve for x
    x = 25,393,036.81/5,728.88
  6. Step 6: Final answer
    x = 4,432.46

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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.