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Finding the Fourth Proportional to 5,287.74, 7,931.69 and 2,514.70

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Solution

The fourth proportional to 5,287.74, 7,931.69 and 2,514.70 is: 3,772.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.74 : 7,931.69 = 2,514.70 : x
  2. Step 2: Convert to fraction form
    5,287.74/7,931.69 = 2,514.70/x
  3. Step 3: Cross multiply
    5,287.74x = 7,931.69 × 2,514.70
  4. Step 4: Simplify right side
    5,287.74x = 19,945,820.84
  5. Step 5: Solve for x
    x = 19,945,820.84/5,287.74
  6. Step 6: Final answer
    x = 3,772.09

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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.