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Finding the Fourth Proportional to 5,660.91, 7,819.54 and 4,719.78

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Solution

The fourth proportional to 5,660.91, 7,819.54 and 4,719.78 is: 6,519.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.91 : 7,819.54 = 4,719.78 : x
  2. Step 2: Convert to fraction form
    5,660.91/7,819.54 = 4,719.78/x
  3. Step 3: Cross multiply
    5,660.91x = 7,819.54 × 4,719.78
  4. Step 4: Simplify right side
    5,660.91x = 36,906,496.70
  5. Step 5: Solve for x
    x = 36,906,496.70/5,660.91
  6. Step 6: Final answer
    x = 6,519.53

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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.