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Finding the Fourth Proportional to 11,667.84, 17,502 and 3,876.72

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Solution

The fourth proportional to 11,667.84, 17,502 and 3,876.72 is: 5,815.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,667.84 : 17,502 = 3,876.72 : x
  2. Step 2: Convert to fraction form
    11,667.84/17,502 = 3,876.72/x
  3. Step 3: Cross multiply
    11,667.84x = 17,502 × 3,876.72
  4. Step 4: Simplify right side
    11,667.84x = 67,850,353.44
  5. Step 5: Solve for x
    x = 67,850,353.44/11,667.84
  6. Step 6: Final answer
    x = 5,815.16

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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.