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Finding the Fourth Proportional to 7,891.78, 11,837.75 and 3,719.93

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Solution

The fourth proportional to 7,891.78, 11,837.75 and 3,719.93 is: 5,579.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.78 : 11,837.75 = 3,719.93 : x
  2. Step 2: Convert to fraction form
    7,891.78/11,837.75 = 3,719.93/x
  3. Step 3: Cross multiply
    7,891.78x = 11,837.75 × 3,719.93
  4. Step 4: Simplify right side
    7,891.78x = 44,035,523.57
  5. Step 5: Solve for x
    x = 44,035,523.57/7,891.78
  6. Step 6: Final answer
    x = 5,579.92

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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.