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Finding the Fourth Proportional to 6,781.76, 9,351.36 and 5,362.88

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Solution

The fourth proportional to 6,781.76, 9,351.36 and 5,362.88 is: 7,394.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.76 : 9,351.36 = 5,362.88 : x
  2. Step 2: Convert to fraction form
    6,781.76/9,351.36 = 5,362.88/x
  3. Step 3: Cross multiply
    6,781.76x = 9,351.36 × 5,362.88
  4. Step 4: Simplify right side
    6,781.76x = 50,150,221.52
  5. Step 5: Solve for x
    x = 50,150,221.52/6,781.76
  6. Step 6: Final answer
    x = 7,394.87

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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.