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Finding the Fourth Proportional to 5,291.82, 7,931.76 and 2,514.66

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Solution

The fourth proportional to 5,291.82, 7,931.76 and 2,514.66 is: 3,769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.82 : 7,931.76 = 2,514.66 : x
  2. Step 2: Convert to fraction form
    5,291.82/7,931.76 = 2,514.66/x
  3. Step 3: Cross multiply
    5,291.82x = 7,931.76 × 2,514.66
  4. Step 4: Simplify right side
    5,291.82x = 19,945,679.60
  5. Step 5: Solve for x
    x = 19,945,679.60/5,291.82
  6. Step 6: Final answer
    x = 3,769.15

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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.