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Finding the Fourth Proportional to 3,403, 5,103.68 and 938.02

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Solution

The fourth proportional to 3,403, 5,103.68 and 938.02 is: 1,406.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403 : 5,103.68 = 938.02 : x
  2. Step 2: Convert to fraction form
    3,403/5,103.68 = 938.02/x
  3. Step 3: Cross multiply
    3,403x = 5,103.68 × 938.02
  4. Step 4: Simplify right side
    3,403x = 4,787,353.91
  5. Step 5: Solve for x
    x = 4,787,353.91/3,403
  6. Step 6: Final answer
    x = 1,406.80

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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.