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Finding the Fourth Proportional to 3,143.61, 4,715.82 and 952.16

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Solution

The fourth proportional to 3,143.61, 4,715.82 and 952.16 is: 1,428.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.61 : 4,715.82 = 952.16 : x
  2. Step 2: Convert to fraction form
    3,143.61/4,715.82 = 952.16/x
  3. Step 3: Cross multiply
    3,143.61x = 4,715.82 × 952.16
  4. Step 4: Simplify right side
    3,143.61x = 4,490,191.59
  5. Step 5: Solve for x
    x = 4,490,191.59/3,143.61
  6. Step 6: Final answer
    x = 1,428.36

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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.