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Finding the Fourth Proportional to 4,943.53, 7,416.51 and 1,480.78

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Solution

The fourth proportional to 4,943.53, 7,416.51 and 1,480.78 is: 2,221.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,943.53 : 7,416.51 = 1,480.78 : x
  2. Step 2: Convert to fraction form
    4,943.53/7,416.51 = 1,480.78/x
  3. Step 3: Cross multiply
    4,943.53x = 7,416.51 × 1,480.78
  4. Step 4: Simplify right side
    4,943.53x = 10,982,231.72
  5. Step 5: Solve for x
    x = 10,982,231.72/4,943.53
  6. Step 6: Final answer
    x = 2,221.54

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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.