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Finding the Fourth Proportional to 5,139.38, 7,709.22 and 1,629.41

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Solution

The fourth proportional to 5,139.38, 7,709.22 and 1,629.41 is: 2,444.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.38 : 7,709.22 = 1,629.41 : x
  2. Step 2: Convert to fraction form
    5,139.38/7,709.22 = 1,629.41/x
  3. Step 3: Cross multiply
    5,139.38x = 7,709.22 × 1,629.41
  4. Step 4: Simplify right side
    5,139.38x = 12,561,441.61
  5. Step 5: Solve for x
    x = 12,561,441.61/5,139.38
  6. Step 6: Final answer
    x = 2,444.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.