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Finding the Fourth Proportional to 7,886.66, 11,832.78 and 3,503.72

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Solution

The fourth proportional to 7,886.66, 11,832.78 and 3,503.72 is: 5,256.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.66 : 11,832.78 = 3,503.72 : x
  2. Step 2: Convert to fraction form
    7,886.66/11,832.78 = 3,503.72/x
  3. Step 3: Cross multiply
    7,886.66x = 11,832.78 × 3,503.72
  4. Step 4: Simplify right side
    7,886.66x = 41,458,747.94
  5. Step 5: Solve for x
    x = 41,458,747.94/7,886.66
  6. Step 6: Final answer
    x = 5,256.82

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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.