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Finding the Fourth Proportional to 2,952.71, 4,428.35 and 872.15

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Solution

The fourth proportional to 2,952.71, 4,428.35 and 872.15 is: 1,308.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.71 : 4,428.35 = 872.15 : x
  2. Step 2: Convert to fraction form
    2,952.71/4,428.35 = 872.15/x
  3. Step 3: Cross multiply
    2,952.71x = 4,428.35 × 872.15
  4. Step 4: Simplify right side
    2,952.71x = 3,862,178.83
  5. Step 5: Solve for x
    x = 3,862,178.83/2,952.71
  6. Step 6: Final answer
    x = 1,308.01

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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.