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Finding the Fourth Proportional to 5,279.16, 7,920.16 and 1,769.74

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Solution

The fourth proportional to 5,279.16, 7,920.16 and 1,769.74 is: 2,655.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,279.16 : 7,920.16 = 1,769.74 : x
  2. Step 2: Convert to fraction form
    5,279.16/7,920.16 = 1,769.74/x
  3. Step 3: Cross multiply
    5,279.16x = 7,920.16 × 1,769.74
  4. Step 4: Simplify right side
    5,279.16x = 14,016,623.96
  5. Step 5: Solve for x
    x = 14,016,623.96/5,279.16
  6. Step 6: Final answer
    x = 2,655.09

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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.