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Finding the Fourth Proportional to 1,611.84, 2,414.24 and 1,178

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Solution

The fourth proportional to 1,611.84, 2,414.24 and 1,178 is: 1,764.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.84 : 2,414.24 = 1,178 : x
  2. Step 2: Convert to fraction form
    1,611.84/2,414.24 = 1,178/x
  3. Step 3: Cross multiply
    1,611.84x = 2,414.24 × 1,178
  4. Step 4: Simplify right side
    1,611.84x = 2,843,974.72
  5. Step 5: Solve for x
    x = 2,843,974.72/1,611.84
  6. Step 6: Final answer
    x = 1,764.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.