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Finding the Fourth Proportional to 5,279.54, 7,918.52 and 1,769.54

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Solution

The fourth proportional to 5,279.54, 7,918.52 and 1,769.54 is: 2,654.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,279.54 : 7,918.52 = 1,769.54 : x
  2. Step 2: Convert to fraction form
    5,279.54/7,918.52 = 1,769.54/x
  3. Step 3: Cross multiply
    5,279.54x = 7,918.52 × 1,769.54
  4. Step 4: Simplify right side
    5,279.54x = 14,012,137.88
  5. Step 5: Solve for x
    x = 14,012,137.88/5,279.54
  6. Step 6: Final answer
    x = 2,654.05

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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.