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Finding the Fourth Proportional to 4,949.79, 7,424 and 1,251.80

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Solution

The fourth proportional to 4,949.79, 7,424 and 1,251.80 is: 1,877.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.79 : 7,424 = 1,251.80 : x
  2. Step 2: Convert to fraction form
    4,949.79/7,424 = 1,251.80/x
  3. Step 3: Cross multiply
    4,949.79x = 7,424 × 1,251.80
  4. Step 4: Simplify right side
    4,949.79x = 9,293,363.20
  5. Step 5: Solve for x
    x = 9,293,363.20/4,949.79
  6. Step 6: Final answer
    x = 1,877.53

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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.