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Finding the Fourth Proportional to 7,042.68, 9,719.05 and 3,856.11

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Solution

The fourth proportional to 7,042.68, 9,719.05 and 3,856.11 is: 5,321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.68 : 9,719.05 = 3,856.11 : x
  2. Step 2: Convert to fraction form
    7,042.68/9,719.05 = 3,856.11/x
  3. Step 3: Cross multiply
    7,042.68x = 9,719.05 × 3,856.11
  4. Step 4: Simplify right side
    7,042.68x = 37,477,716.26
  5. Step 5: Solve for x
    x = 37,477,716.26/7,042.68
  6. Step 6: Final answer
    x = 5,321.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.