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Finding the Fourth Proportional to 3,758, 5,186.04 and 2,102

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Solution

The fourth proportional to 3,758, 5,186.04 and 2,102 is: 2,900.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758 : 5,186.04 = 2,102 : x
  2. Step 2: Convert to fraction form
    3,758/5,186.04 = 2,102/x
  3. Step 3: Cross multiply
    3,758x = 5,186.04 × 2,102
  4. Step 4: Simplify right side
    3,758x = 10,901,056.08
  5. Step 5: Solve for x
    x = 10,901,056.08/3,758
  6. Step 6: Final answer
    x = 2,900.76

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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.