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Finding the Fourth Proportional to 2,478.72, 3,717.99 and 747.30

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Solution

The fourth proportional to 2,478.72, 3,717.99 and 747.30 is: 1,120.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.72 : 3,717.99 = 747.30 : x
  2. Step 2: Convert to fraction form
    2,478.72/3,717.99 = 747.30/x
  3. Step 3: Cross multiply
    2,478.72x = 3,717.99 × 747.30
  4. Step 4: Simplify right side
    2,478.72x = 2,778,453.93
  5. Step 5: Solve for x
    x = 2,778,453.93/2,478.72
  6. Step 6: Final answer
    x = 1,120.92

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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.