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Finding the Fourth Proportional to 8,028.36, 12,036.51 and 2,478.44

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Solution

The fourth proportional to 8,028.36, 12,036.51 and 2,478.44 is: 3,715.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,028.36 : 12,036.51 = 2,478.44 : x
  2. Step 2: Convert to fraction form
    8,028.36/12,036.51 = 2,478.44/x
  3. Step 3: Cross multiply
    8,028.36x = 12,036.51 × 2,478.44
  4. Step 4: Simplify right side
    8,028.36x = 29,831,695.27
  5. Step 5: Solve for x
    x = 29,831,695.27/8,028.36
  6. Step 6: Final answer
    x = 3,715.79

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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.