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Finding the Fourth Proportional to 2,549.05, 3,823.55 and 817.68

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Solution

The fourth proportional to 2,549.05, 3,823.55 and 817.68 is: 1,226.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.05 : 3,823.55 = 817.68 : x
  2. Step 2: Convert to fraction form
    2,549.05/3,823.55 = 817.68/x
  3. Step 3: Cross multiply
    2,549.05x = 3,823.55 × 817.68
  4. Step 4: Simplify right side
    2,549.05x = 3,126,440.36
  5. Step 5: Solve for x
    x = 3,126,440.36/2,549.05
  6. Step 6: Final answer
    x = 1,226.51

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Half scale
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Double scale
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Similar ratio
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1.5x scale

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.