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Finding the Fourth Proportional to 4,938.40, 7,408.83 and 3,480.40

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Solution

The fourth proportional to 4,938.40, 7,408.83 and 3,480.40 is: 5,221.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.40 : 7,408.83 = 3,480.40 : x
  2. Step 2: Convert to fraction form
    4,938.40/7,408.83 = 3,480.40/x
  3. Step 3: Cross multiply
    4,938.40x = 7,408.83 × 3,480.40
  4. Step 4: Simplify right side
    4,938.40x = 25,785,691.93
  5. Step 5: Solve for x
    x = 25,785,691.93/4,938.40
  6. Step 6: Final answer
    x = 5,221.47

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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.