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Finding the Fourth Proportional to 1,138.55, 1,698.11 and 1,118.82

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Solution

The fourth proportional to 1,138.55, 1,698.11 and 1,118.82 is: 1,668.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.55 : 1,698.11 = 1,118.82 : x
  2. Step 2: Convert to fraction form
    1,138.55/1,698.11 = 1,118.82/x
  3. Step 3: Cross multiply
    1,138.55x = 1,698.11 × 1,118.82
  4. Step 4: Simplify right side
    1,138.55x = 1,899,876.96
  5. Step 5: Solve for x
    x = 1,899,876.96/1,138.55
  6. Step 6: Final answer
    x = 1,668.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.