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Finding the Fourth Proportional to 11,712.60, 17,564.04 and 3,917.16

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Solution

The fourth proportional to 11,712.60, 17,564.04 and 3,917.16 is: 5,874.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.60 : 17,564.04 = 3,917.16 : x
  2. Step 2: Convert to fraction form
    11,712.60/17,564.04 = 3,917.16/x
  3. Step 3: Cross multiply
    11,712.60x = 17,564.04 × 3,917.16
  4. Step 4: Simplify right side
    11,712.60x = 68,801,154.93
  5. Step 5: Solve for x
    x = 68,801,154.93/11,712.60
  6. Step 6: Final answer
    x = 5,874.11

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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.