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Finding the Fourth Proportional to 7,871.38, 11,807.14 and 2,027.82

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Solution

The fourth proportional to 7,871.38, 11,807.14 and 2,027.82 is: 3,041.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.38 : 11,807.14 = 2,027.82 : x
  2. Step 2: Convert to fraction form
    7,871.38/11,807.14 = 2,027.82/x
  3. Step 3: Cross multiply
    7,871.38x = 11,807.14 × 2,027.82
  4. Step 4: Simplify right side
    7,871.38x = 23,942,754.63
  5. Step 5: Solve for x
    x = 23,942,754.63/7,871.38
  6. Step 6: Final answer
    x = 3,041.75

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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.