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Finding the Fourth Proportional to 5,175.56, 7,763.51 and 1,279.97

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Solution

The fourth proportional to 5,175.56, 7,763.51 and 1,279.97 is: 1,919.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.56 : 7,763.51 = 1,279.97 : x
  2. Step 2: Convert to fraction form
    5,175.56/7,763.51 = 1,279.97/x
  3. Step 3: Cross multiply
    5,175.56x = 7,763.51 × 1,279.97
  4. Step 4: Simplify right side
    5,175.56x = 9,937,053.39
  5. Step 5: Solve for x
    x = 9,937,053.39/5,175.56
  6. Step 6: Final answer
    x = 1,919.99

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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.