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Finding the Fourth Proportional to 7,871.58, 11,807.30 and 2,028.17

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Solution

The fourth proportional to 7,871.58, 11,807.30 and 2,028.17 is: 3,042.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.58 : 11,807.30 = 2,028.17 : x
  2. Step 2: Convert to fraction form
    7,871.58/11,807.30 = 2,028.17/x
  3. Step 3: Cross multiply
    7,871.58x = 11,807.30 × 2,028.17
  4. Step 4: Simplify right side
    7,871.58x = 23,947,246.23
  5. Step 5: Solve for x
    x = 23,947,246.23/7,871.58
  6. Step 6: Final answer
    x = 3,042.24

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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.