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Finding the Fourth Proportional to 11,291.28, 16,938.02 and 3,894.76

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Solution

The fourth proportional to 11,291.28, 16,938.02 and 3,894.76 is: 5,842.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,291.28 : 16,938.02 = 3,894.76 : x
  2. Step 2: Convert to fraction form
    11,291.28/16,938.02 = 3,894.76/x
  3. Step 3: Cross multiply
    11,291.28x = 16,938.02 × 3,894.76
  4. Step 4: Simplify right side
    11,291.28x = 65,969,522.78
  5. Step 5: Solve for x
    x = 65,969,522.78/11,291.28
  6. Step 6: Final answer
    x = 5,842.52

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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.