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Finding the Fourth Proportional to 2,952.64, 4,428.12 and 872.80

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Solution

The fourth proportional to 2,952.64, 4,428.12 and 872.80 is: 1,308.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.64 : 4,428.12 = 872.80 : x
  2. Step 2: Convert to fraction form
    2,952.64/4,428.12 = 872.80/x
  3. Step 3: Cross multiply
    2,952.64x = 4,428.12 × 872.80
  4. Step 4: Simplify right side
    2,952.64x = 3,864,863.14
  5. Step 5: Solve for x
    x = 3,864,863.14/2,952.64
  6. Step 6: Final answer
    x = 1,308.95

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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.