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Finding the Fourth Proportional to 11,709.78, 17,414.10 and 11,340.72

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Solution

The fourth proportional to 11,709.78, 17,414.10 and 11,340.72 is: 16,865.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.78 : 17,414.10 = 11,340.72 : x
  2. Step 2: Convert to fraction form
    11,709.78/17,414.10 = 11,340.72/x
  3. Step 3: Cross multiply
    11,709.78x = 17,414.10 × 11,340.72
  4. Step 4: Simplify right side
    11,709.78x = 197,488,432.15
  5. Step 5: Solve for x
    x = 197,488,432.15/11,709.78
  6. Step 6: Final answer
    x = 16,865.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.