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Finding the Fourth Proportional to 4,250, 6,375 and 1,514

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Solution

The fourth proportional to 4,250, 6,375 and 1,514 is: 2,271

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,250 : 6,375 = 1,514 : x
  2. Step 2: Convert to fraction form
    4,250/6,375 = 1,514/x
  3. Step 3: Cross multiply
    4,250x = 6,375 × 1,514
  4. Step 4: Simplify right side
    4,250x = 9,651,750
  5. Step 5: Solve for x
    x = 9,651,750/4,250
  6. Step 6: Final answer
    x = 2,271

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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.