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Finding the Fourth Proportional to 1,096.38, 1,646.39 and 1,087.87

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Solution

The fourth proportional to 1,096.38, 1,646.39 and 1,087.87 is: 1,633.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.38 : 1,646.39 = 1,087.87 : x
  2. Step 2: Convert to fraction form
    1,096.38/1,646.39 = 1,087.87/x
  3. Step 3: Cross multiply
    1,096.38x = 1,646.39 × 1,087.87
  4. Step 4: Simplify right side
    1,096.38x = 1,791,058.29
  5. Step 5: Solve for x
    x = 1,791,058.29/1,096.38
  6. Step 6: Final answer
    x = 1,633.62

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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.