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Finding the Fourth Proportional to 5,156.79, 7,734.96 and 2,382.54

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Solution

The fourth proportional to 5,156.79, 7,734.96 and 2,382.54 is: 3,573.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.79 : 7,734.96 = 2,382.54 : x
  2. Step 2: Convert to fraction form
    5,156.79/7,734.96 = 2,382.54/x
  3. Step 3: Cross multiply
    5,156.79x = 7,734.96 × 2,382.54
  4. Step 4: Simplify right side
    5,156.79x = 18,428,851.60
  5. Step 5: Solve for x
    x = 18,428,851.60/5,156.79
  6. Step 6: Final answer
    x = 3,573.71

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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.