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Finding the Fourth Proportional to 2,792.49, 4,188.75 and 844.71

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Solution

The fourth proportional to 2,792.49, 4,188.75 and 844.71 is: 1,267.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.49 : 4,188.75 = 844.71 : x
  2. Step 2: Convert to fraction form
    2,792.49/4,188.75 = 844.71/x
  3. Step 3: Cross multiply
    2,792.49x = 4,188.75 × 844.71
  4. Step 4: Simplify right side
    2,792.49x = 3,538,260.14
  5. Step 5: Solve for x
    x = 3,538,260.14/2,792.49
  6. Step 6: Final answer
    x = 1,267.06

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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.