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Finding the Fourth Proportional to 7,871.94, 11,807.46 and 2,028.84

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Solution

The fourth proportional to 7,871.94, 11,807.46 and 2,028.84 is: 3,043.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.94 : 11,807.46 = 2,028.84 : x
  2. Step 2: Convert to fraction form
    7,871.94/11,807.46 = 2,028.84/x
  3. Step 3: Cross multiply
    7,871.94x = 11,807.46 × 2,028.84
  4. Step 4: Simplify right side
    7,871.94x = 23,955,447.15
  5. Step 5: Solve for x
    x = 23,955,447.15/7,871.94
  6. Step 6: Final answer
    x = 3,043.14

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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.