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Finding the Fourth Proportional to 3,144.54, 4,715.25 and 952.74

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Solution

The fourth proportional to 3,144.54, 4,715.25 and 952.74 is: 1,428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.54 : 4,715.25 = 952.74 : x
  2. Step 2: Convert to fraction form
    3,144.54/4,715.25 = 952.74/x
  3. Step 3: Cross multiply
    3,144.54x = 4,715.25 × 952.74
  4. Step 4: Simplify right side
    3,144.54x = 4,492,407.29
  5. Step 5: Solve for x
    x = 4,492,407.29/3,144.54
  6. Step 6: Final answer
    x = 1,428.64

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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.