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Finding the Fourth Proportional to 5,669.71, 7,824.17 and 3,151.78

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Solution

The fourth proportional to 5,669.71, 7,824.17 and 3,151.78 is: 4,349.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.71 : 7,824.17 = 3,151.78 : x
  2. Step 2: Convert to fraction form
    5,669.71/7,824.17 = 3,151.78/x
  3. Step 3: Cross multiply
    5,669.71x = 7,824.17 × 3,151.78
  4. Step 4: Simplify right side
    5,669.71x = 24,660,046.76
  5. Step 5: Solve for x
    x = 24,660,046.76/5,669.71
  6. Step 6: Final answer
    x = 4,349.44

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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.