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Finding the Fourth Proportional to 3,750, 5,172.71 and 2,952.15

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Solution

The fourth proportional to 3,750, 5,172.71 and 2,952.15 is: 4,072.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750 : 5,172.71 = 2,952.15 : x
  2. Step 2: Convert to fraction form
    3,750/5,172.71 = 2,952.15/x
  3. Step 3: Cross multiply
    3,750x = 5,172.71 × 2,952.15
  4. Step 4: Simplify right side
    3,750x = 15,270,601.07
  5. Step 5: Solve for x
    x = 15,270,601.07/3,750
  6. Step 6: Final answer
    x = 4,072.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.