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Finding the Fourth Proportional to 2,426.64, 3,639.84 and 887.28

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Solution

The fourth proportional to 2,426.64, 3,639.84 and 887.28 is: 1,330.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.64 : 3,639.84 = 887.28 : x
  2. Step 2: Convert to fraction form
    2,426.64/3,639.84 = 887.28/x
  3. Step 3: Cross multiply
    2,426.64x = 3,639.84 × 887.28
  4. Step 4: Simplify right side
    2,426.64x = 3,229,557.24
  5. Step 5: Solve for x
    x = 3,229,557.24/2,426.64
  6. Step 6: Final answer
    x = 1,330.88

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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.