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Finding the Fourth Proportional to 2,264.56, 3,125.31 and 1,270

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Solution

The fourth proportional to 2,264.56, 3,125.31 and 1,270 is: 1,752.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.56 : 3,125.31 = 1,270 : x
  2. Step 2: Convert to fraction form
    2,264.56/3,125.31 = 1,270/x
  3. Step 3: Cross multiply
    2,264.56x = 3,125.31 × 1,270
  4. Step 4: Simplify right side
    2,264.56x = 3,969,143.70
  5. Step 5: Solve for x
    x = 3,969,143.70/2,264.56
  6. Step 6: Final answer
    x = 1,752.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.