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Finding the Fourth Proportional to 2,642.46, 3,964.18 and 887.30

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Solution

The fourth proportional to 2,642.46, 3,964.18 and 887.30 is: 1,331.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.46 : 3,964.18 = 887.30 : x
  2. Step 2: Convert to fraction form
    2,642.46/3,964.18 = 887.30/x
  3. Step 3: Cross multiply
    2,642.46x = 3,964.18 × 887.30
  4. Step 4: Simplify right side
    2,642.46x = 3,517,416.91
  5. Step 5: Solve for x
    x = 3,517,416.91/2,642.46
  6. Step 6: Final answer
    x = 1,331.11

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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.