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Finding the Fourth Proportional to 1,438.22, 1,984.78 and 1,123.85

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Solution

The fourth proportional to 1,438.22, 1,984.78 and 1,123.85 is: 1,550.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.22 : 1,984.78 = 1,123.85 : x
  2. Step 2: Convert to fraction form
    1,438.22/1,984.78 = 1,123.85/x
  3. Step 3: Cross multiply
    1,438.22x = 1,984.78 × 1,123.85
  4. Step 4: Simplify right side
    1,438.22x = 2,230,597.16
  5. Step 5: Solve for x
    x = 2,230,597.16/1,438.22
  6. Step 6: Final answer
    x = 1,550.94

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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.