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Finding the Fourth Proportional to 5,438.78, 7,502.97 and 3,845.44

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Solution

The fourth proportional to 5,438.78, 7,502.97 and 3,845.44 is: 5,304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.78 : 7,502.97 = 3,845.44 : x
  2. Step 2: Convert to fraction form
    5,438.78/7,502.97 = 3,845.44/x
  3. Step 3: Cross multiply
    5,438.78x = 7,502.97 × 3,845.44
  4. Step 4: Simplify right side
    5,438.78x = 28,852,220.96
  5. Step 5: Solve for x
    x = 28,852,220.96/5,438.78
  6. Step 6: Final answer
    x = 5,304.91

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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.