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Finding the Fourth Proportional to 2,642.49, 3,964.28 and 887.29

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Solution

The fourth proportional to 2,642.49, 3,964.28 and 887.29 is: 1,331.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.49 : 3,964.28 = 887.29 : x
  2. Step 2: Convert to fraction form
    2,642.49/3,964.28 = 887.29/x
  3. Step 3: Cross multiply
    2,642.49x = 3,964.28 × 887.29
  4. Step 4: Simplify right side
    2,642.49x = 3,517,451.65
  5. Step 5: Solve for x
    x = 3,517,451.65/2,642.49
  6. Step 6: Final answer
    x = 1,331.11

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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.