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Finding the Fourth Proportional to 6,930.70, 9,542.20 and 5,608.78

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Solution

The fourth proportional to 6,930.70, 9,542.20 and 5,608.78 is: 7,722.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.70 : 9,542.20 = 5,608.78 : x
  2. Step 2: Convert to fraction form
    6,930.70/9,542.20 = 5,608.78/x
  3. Step 3: Cross multiply
    6,930.70x = 9,542.20 × 5,608.78
  4. Step 4: Simplify right side
    6,930.70x = 53,520,100.52
  5. Step 5: Solve for x
    x = 53,520,100.52/6,930.70
  6. Step 6: Final answer
    x = 7,722.18

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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.