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Finding the Fourth Proportional to 1,679.74, 2,514.98 and 1,267.65

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Solution

The fourth proportional to 1,679.74, 2,514.98 and 1,267.65 is: 1,897.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.74 : 2,514.98 = 1,267.65 : x
  2. Step 2: Convert to fraction form
    1,679.74/2,514.98 = 1,267.65/x
  3. Step 3: Cross multiply
    1,679.74x = 2,514.98 × 1,267.65
  4. Step 4: Simplify right side
    1,679.74x = 3,188,117.57
  5. Step 5: Solve for x
    x = 3,188,117.57/1,679.74
  6. Step 6: Final answer
    x = 1,897.99

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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.