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Finding the Fourth Proportional to 2,792.38, 4,188.56 and 844.74

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Solution

The fourth proportional to 2,792.38, 4,188.56 and 844.74 is: 1,267.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.38 : 4,188.56 = 844.74 : x
  2. Step 2: Convert to fraction form
    2,792.38/4,188.56 = 844.74/x
  3. Step 3: Cross multiply
    2,792.38x = 4,188.56 × 844.74
  4. Step 4: Simplify right side
    2,792.38x = 3,538,244.17
  5. Step 5: Solve for x
    x = 3,538,244.17/2,792.38
  6. Step 6: Final answer
    x = 1,267.11

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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.