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Finding the Fourth Proportional to 2,562.83, 3,844.25 and 831.59

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Solution

The fourth proportional to 2,562.83, 3,844.25 and 831.59 is: 1,247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.83 : 3,844.25 = 831.59 : x
  2. Step 2: Convert to fraction form
    2,562.83/3,844.25 = 831.59/x
  3. Step 3: Cross multiply
    2,562.83x = 3,844.25 × 831.59
  4. Step 4: Simplify right side
    2,562.83x = 3,196,839.86
  5. Step 5: Solve for x
    x = 3,196,839.86/2,562.83
  6. Step 6: Final answer
    x = 1,247.39

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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.