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Finding the Fourth Proportional to 1,138.03, 1,709.25 and 1,093.15

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Solution

The fourth proportional to 1,138.03, 1,709.25 and 1,093.15 is: 1,641.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.03 : 1,709.25 = 1,093.15 : x
  2. Step 2: Convert to fraction form
    1,138.03/1,709.25 = 1,093.15/x
  3. Step 3: Cross multiply
    1,138.03x = 1,709.25 × 1,093.15
  4. Step 4: Simplify right side
    1,138.03x = 1,868,452.63
  5. Step 5: Solve for x
    x = 1,868,452.63/1,138.03
  6. Step 6: Final answer
    x = 1,641.84

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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.