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Finding the Fourth Proportional to 2,512.89, 3,468.51 and 1,518

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Solution

The fourth proportional to 2,512.89, 3,468.51 and 1,518 is: 2,095.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.89 : 3,468.51 = 1,518 : x
  2. Step 2: Convert to fraction form
    2,512.89/3,468.51 = 1,518/x
  3. Step 3: Cross multiply
    2,512.89x = 3,468.51 × 1,518
  4. Step 4: Simplify right side
    2,512.89x = 5,265,198.18
  5. Step 5: Solve for x
    x = 5,265,198.18/2,512.89
  6. Step 6: Final answer
    x = 2,095.28

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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.