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Finding the Fourth Proportional to 5,279.48, 7,916.90 and 2,506.96

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Solution

The fourth proportional to 5,279.48, 7,916.90 and 2,506.96 is: 3,759.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,279.48 : 7,916.90 = 2,506.96 : x
  2. Step 2: Convert to fraction form
    5,279.48/7,916.90 = 2,506.96/x
  3. Step 3: Cross multiply
    5,279.48x = 7,916.90 × 2,506.96
  4. Step 4: Simplify right side
    5,279.48x = 19,847,351.62
  5. Step 5: Solve for x
    x = 19,847,351.62/5,279.48
  6. Step 6: Final answer
    x = 3,759.34

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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.