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Finding the Fourth Proportional to 3,144.76, 4,717.86 and 1,412.44

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Solution

The fourth proportional to 3,144.76, 4,717.86 and 1,412.44 is: 2,118.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.76 : 4,717.86 = 1,412.44 : x
  2. Step 2: Convert to fraction form
    3,144.76/4,717.86 = 1,412.44/x
  3. Step 3: Cross multiply
    3,144.76x = 4,717.86 × 1,412.44
  4. Step 4: Simplify right side
    3,144.76x = 6,663,694.18
  5. Step 5: Solve for x
    x = 6,663,694.18/3,144.76
  6. Step 6: Final answer
    x = 2,118.98

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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.