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Finding the Fourth Proportional to 2,258.97, 3,117 and 1,264.26

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Solution

The fourth proportional to 2,258.97, 3,117 and 1,264.26 is: 1,744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.97 : 3,117 = 1,264.26 : x
  2. Step 2: Convert to fraction form
    2,258.97/3,117 = 1,264.26/x
  3. Step 3: Cross multiply
    2,258.97x = 3,117 × 1,264.26
  4. Step 4: Simplify right side
    2,258.97x = 3,940,698.42
  5. Step 5: Solve for x
    x = 3,940,698.42/2,258.97
  6. Step 6: Final answer
    x = 1,744.47

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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.