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Finding the Fourth Proportional to 2,716.88, 4,072.46 and 1,257

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Solution

The fourth proportional to 2,716.88, 4,072.46 and 1,257 is: 1,884.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.88 : 4,072.46 = 1,257 : x
  2. Step 2: Convert to fraction form
    2,716.88/4,072.46 = 1,257/x
  3. Step 3: Cross multiply
    2,716.88x = 4,072.46 × 1,257
  4. Step 4: Simplify right side
    2,716.88x = 5,119,082.22
  5. Step 5: Solve for x
    x = 5,119,082.22/2,716.88
  6. Step 6: Final answer
    x = 1,884.18

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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.