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Finding the Fourth Proportional to 11,751.78, 16,204.17 and 7,497.15

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Solution

The fourth proportional to 11,751.78, 16,204.17 and 7,497.15 is: 10,337.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.78 : 16,204.17 = 7,497.15 : x
  2. Step 2: Convert to fraction form
    11,751.78/16,204.17 = 7,497.15/x
  3. Step 3: Cross multiply
    11,751.78x = 16,204.17 × 7,497.15
  4. Step 4: Simplify right side
    11,751.78x = 121,485,093.12
  5. Step 5: Solve for x
    x = 121,485,093.12/11,751.78
  6. Step 6: Final answer
    x = 10,337.59

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1.5x scale

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.