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Finding the Fourth Proportional to 8,078.95, 12,118.71 and 2,236

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Solution

The fourth proportional to 8,078.95, 12,118.71 and 2,236 is: 3,354.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.95 : 12,118.71 = 2,236 : x
  2. Step 2: Convert to fraction form
    8,078.95/12,118.71 = 2,236/x
  3. Step 3: Cross multiply
    8,078.95x = 12,118.71 × 2,236
  4. Step 4: Simplify right side
    8,078.95x = 27,097,435.56
  5. Step 5: Solve for x
    x = 27,097,435.56/8,078.95
  6. Step 6: Final answer
    x = 3,354.08

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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.