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Finding the Fourth Proportional to 5,279.68, 7,916.86 and 1,768.46

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Solution

The fourth proportional to 5,279.68, 7,916.86 and 1,768.46 is: 2,651.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,279.68 : 7,916.86 = 1,768.46 : x
  2. Step 2: Convert to fraction form
    5,279.68/7,916.86 = 1,768.46/x
  3. Step 3: Cross multiply
    5,279.68x = 7,916.86 × 1,768.46
  4. Step 4: Simplify right side
    5,279.68x = 14,000,650.24
  5. Step 5: Solve for x
    x = 14,000,650.24/5,279.68
  6. Step 6: Final answer
    x = 2,651.80

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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.