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Finding the Fourth Proportional to 1,747.46, 2,621.78 and 823.72

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Solution

The fourth proportional to 1,747.46, 2,621.78 and 823.72 is: 1,235.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.46 : 2,621.78 = 823.72 : x
  2. Step 2: Convert to fraction form
    1,747.46/2,621.78 = 823.72/x
  3. Step 3: Cross multiply
    1,747.46x = 2,621.78 × 823.72
  4. Step 4: Simplify right side
    1,747.46x = 2,159,612.62
  5. Step 5: Solve for x
    x = 2,159,612.62/1,747.46
  6. Step 6: Final answer
    x = 1,235.86

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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.