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Finding the Fourth Proportional to 4,101.92, 5,661.14 and 2,309.46

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Solution

The fourth proportional to 4,101.92, 5,661.14 and 2,309.46 is: 3,187.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.92 : 5,661.14 = 2,309.46 : x
  2. Step 2: Convert to fraction form
    4,101.92/5,661.14 = 2,309.46/x
  3. Step 3: Cross multiply
    4,101.92x = 5,661.14 × 2,309.46
  4. Step 4: Simplify right side
    4,101.92x = 13,074,143.61
  5. Step 5: Solve for x
    x = 13,074,143.61/4,101.92
  6. Step 6: Final answer
    x = 3,187.32

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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.