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Finding the Fourth Proportional to 11,549.78, 17,324.51 and 2,784.61

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Solution

The fourth proportional to 11,549.78, 17,324.51 and 2,784.61 is: 4,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.78 : 17,324.51 = 2,784.61 : x
  2. Step 2: Convert to fraction form
    11,549.78/17,324.51 = 2,784.61/x
  3. Step 3: Cross multiply
    11,549.78x = 17,324.51 × 2,784.61
  4. Step 4: Simplify right side
    11,549.78x = 48,241,946.56
  5. Step 5: Solve for x
    x = 48,241,946.56/11,549.78
  6. Step 6: Final answer
    x = 4,176.87

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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.