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Finding the Fourth Proportional to 2,549, 3,823.50 and 817.76

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Solution

The fourth proportional to 2,549, 3,823.50 and 817.76 is: 1,226.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549 : 3,823.50 = 817.76 : x
  2. Step 2: Convert to fraction form
    2,549/3,823.50 = 817.76/x
  3. Step 3: Cross multiply
    2,549x = 3,823.50 × 817.76
  4. Step 4: Simplify right side
    2,549x = 3,126,705.36
  5. Step 5: Solve for x
    x = 3,126,705.36/2,549
  6. Step 6: Final answer
    x = 1,226.64

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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.