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Finding the Fourth Proportional to 1,747.55, 2,617.81 and 809.18

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Solution

The fourth proportional to 1,747.55, 2,617.81 and 809.18 is: 1,212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.55 : 2,617.81 = 809.18 : x
  2. Step 2: Convert to fraction form
    1,747.55/2,617.81 = 809.18/x
  3. Step 3: Cross multiply
    1,747.55x = 2,617.81 × 809.18
  4. Step 4: Simplify right side
    1,747.55x = 2,118,262.36
  5. Step 5: Solve for x
    x = 2,118,262.36/1,747.55
  6. Step 6: Final answer
    x = 1,212.13

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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.