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Finding the Fourth Proportional to 2,610.74, 3,916.83 and 879.38

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Solution

The fourth proportional to 2,610.74, 3,916.83 and 879.38 is: 1,319.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.74 : 3,916.83 = 879.38 : x
  2. Step 2: Convert to fraction form
    2,610.74/3,916.83 = 879.38/x
  3. Step 3: Cross multiply
    2,610.74x = 3,916.83 × 879.38
  4. Step 4: Simplify right side
    2,610.74x = 3,444,381.97
  5. Step 5: Solve for x
    x = 3,444,381.97/2,610.74
  6. Step 6: Final answer
    x = 1,319.31

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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.