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Finding the Fourth Proportional to 1,747.40, 2,621.61 and 823.05

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Solution

The fourth proportional to 1,747.40, 2,621.61 and 823.05 is: 1,234.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.40 : 2,621.61 = 823.05 : x
  2. Step 2: Convert to fraction form
    1,747.40/2,621.61 = 823.05/x
  3. Step 3: Cross multiply
    1,747.40x = 2,621.61 × 823.05
  4. Step 4: Simplify right side
    1,747.40x = 2,157,716.11
  5. Step 5: Solve for x
    x = 2,157,716.11/1,747.40
  6. Step 6: Final answer
    x = 1,234.82

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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.