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Finding the Fourth Proportional to 11,154.78, 16,758.09 and 6,541.02

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Solution

The fourth proportional to 11,154.78, 16,758.09 and 6,541.02 is: 9,826.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,154.78 : 16,758.09 = 6,541.02 : x
  2. Step 2: Convert to fraction form
    11,154.78/16,758.09 = 6,541.02/x
  3. Step 3: Cross multiply
    11,154.78x = 16,758.09 × 6,541.02
  4. Step 4: Simplify right side
    11,154.78x = 109,615,001.85
  5. Step 5: Solve for x
    x = 109,615,001.85/11,154.78
  6. Step 6: Final answer
    x = 9,826.73

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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.