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Finding the Fourth Proportional to 11,917.06, 17,871.02 and 4,123.78

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Solution

The fourth proportional to 11,917.06, 17,871.02 and 4,123.78 is: 6,184.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917.06 : 17,871.02 = 4,123.78 : x
  2. Step 2: Convert to fraction form
    11,917.06/17,871.02 = 4,123.78/x
  3. Step 3: Cross multiply
    11,917.06x = 17,871.02 × 4,123.78
  4. Step 4: Simplify right side
    11,917.06x = 73,696,154.86
  5. Step 5: Solve for x
    x = 73,696,154.86/11,917.06
  6. Step 6: Final answer
    x = 6,184.09

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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.