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Finding the Fourth Proportional to 5,680.77, 7,839.84 and 3,442.86

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Solution

The fourth proportional to 5,680.77, 7,839.84 and 3,442.86 is: 4,751.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680.77 : 7,839.84 = 3,442.86 : x
  2. Step 2: Convert to fraction form
    5,680.77/7,839.84 = 3,442.86/x
  3. Step 3: Cross multiply
    5,680.77x = 7,839.84 × 3,442.86
  4. Step 4: Simplify right side
    5,680.77x = 26,991,471.54
  5. Step 5: Solve for x
    x = 26,991,471.54/5,680.77
  6. Step 6: Final answer
    x = 4,751.38

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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.