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Finding the Fourth Proportional to 7,871.18, 11,807.40 and 2,027.78

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Solution

The fourth proportional to 7,871.18, 11,807.40 and 2,027.78 is: 3,041.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.18 : 11,807.40 = 2,027.78 : x
  2. Step 2: Convert to fraction form
    7,871.18/11,807.40 = 2,027.78/x
  3. Step 3: Cross multiply
    7,871.18x = 11,807.40 × 2,027.78
  4. Step 4: Simplify right side
    7,871.18x = 23,942,809.57
  5. Step 5: Solve for x
    x = 23,942,809.57/7,871.18
  6. Step 6: Final answer
    x = 3,041.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.