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Finding the Fourth Proportional to 3,143.46, 4,715.43 and 952.37

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Solution

The fourth proportional to 3,143.46, 4,715.43 and 952.37 is: 1,428.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.46 : 4,715.43 = 952.37 : x
  2. Step 2: Convert to fraction form
    3,143.46/4,715.43 = 952.37/x
  3. Step 3: Cross multiply
    3,143.46x = 4,715.43 × 952.37
  4. Step 4: Simplify right side
    3,143.46x = 4,490,834.07
  5. Step 5: Solve for x
    x = 4,490,834.07/3,143.46
  6. Step 6: Final answer
    x = 1,428.63

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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.