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Finding the Fourth Proportional to 11,917.15, 17,881.20 and 6,077.86

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Solution

The fourth proportional to 11,917.15, 17,881.20 and 6,077.86 is: 9,119.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917.15 : 17,881.20 = 6,077.86 : x
  2. Step 2: Convert to fraction form
    11,917.15/17,881.20 = 6,077.86/x
  3. Step 3: Cross multiply
    11,917.15x = 17,881.20 × 6,077.86
  4. Step 4: Simplify right side
    11,917.15x = 108,679,385.53
  5. Step 5: Solve for x
    x = 108,679,385.53/11,917.15
  6. Step 6: Final answer
    x = 9,119.58

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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.