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Finding the Fourth Proportional to 2,730, 3,766.24 and 1,611.12

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Solution

The fourth proportional to 2,730, 3,766.24 and 1,611.12 is: 2,222.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730 : 3,766.24 = 1,611.12 : x
  2. Step 2: Convert to fraction form
    2,730/3,766.24 = 1,611.12/x
  3. Step 3: Cross multiply
    2,730x = 3,766.24 × 1,611.12
  4. Step 4: Simplify right side
    2,730x = 6,067,864.59
  5. Step 5: Solve for x
    x = 6,067,864.59/2,730
  6. Step 6: Final answer
    x = 2,222.66

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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.