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Finding the Fourth Proportional to 2,781.54, 4,176.54 and 1,747.98

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Solution

The fourth proportional to 2,781.54, 4,176.54 and 1,747.98 is: 2,624.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.54 : 4,176.54 = 1,747.98 : x
  2. Step 2: Convert to fraction form
    2,781.54/4,176.54 = 1,747.98/x
  3. Step 3: Cross multiply
    2,781.54x = 4,176.54 × 1,747.98
  4. Step 4: Simplify right side
    2,781.54x = 7,300,508.39
  5. Step 5: Solve for x
    x = 7,300,508.39/2,781.54
  6. Step 6: Final answer
    x = 2,624.63

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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.