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Finding the Fourth Proportional to 5,728.66, 7,906.34 and 3,339.43

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Solution

The fourth proportional to 5,728.66, 7,906.34 and 3,339.43 is: 4,608.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.66 : 7,906.34 = 3,339.43 : x
  2. Step 2: Convert to fraction form
    5,728.66/7,906.34 = 3,339.43/x
  3. Step 3: Cross multiply
    5,728.66x = 7,906.34 × 3,339.43
  4. Step 4: Simplify right side
    5,728.66x = 26,402,657.57
  5. Step 5: Solve for x
    x = 26,402,657.57/5,728.66
  6. Step 6: Final answer
    x = 4,608.87

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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.