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Finding the Fourth Proportional to 3,143.88, 4,715.82 and 952.62

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Solution

The fourth proportional to 3,143.88, 4,715.82 and 952.62 is: 1,428.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.88 : 4,715.82 = 952.62 : x
  2. Step 2: Convert to fraction form
    3,143.88/4,715.82 = 952.62/x
  3. Step 3: Cross multiply
    3,143.88x = 4,715.82 × 952.62
  4. Step 4: Simplify right side
    3,143.88x = 4,492,384.45
  5. Step 5: Solve for x
    x = 4,492,384.45/3,143.88
  6. Step 6: Final answer
    x = 1,428.93

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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.