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Finding the Fourth Proportional to 2,616.88, 3,611.40 and 1,498

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Solution

The fourth proportional to 2,616.88, 3,611.40 and 1,498 is: 2,067.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.88 : 3,611.40 = 1,498 : x
  2. Step 2: Convert to fraction form
    2,616.88/3,611.40 = 1,498/x
  3. Step 3: Cross multiply
    2,616.88x = 3,611.40 × 1,498
  4. Step 4: Simplify right side
    2,616.88x = 5,409,877.20
  5. Step 5: Solve for x
    x = 5,409,877.20/2,616.88
  6. Step 6: Final answer
    x = 2,067.30

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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.