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Finding the Fourth Proportional to 7,856.40, 11,787.87 and 3,179.72

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Solution

The fourth proportional to 7,856.40, 11,787.87 and 3,179.72 is: 4,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.40 : 11,787.87 = 3,179.72 : x
  2. Step 2: Convert to fraction form
    7,856.40/11,787.87 = 3,179.72/x
  3. Step 3: Cross multiply
    7,856.40x = 11,787.87 × 3,179.72
  4. Step 4: Simplify right side
    7,856.40x = 37,482,088.58
  5. Step 5: Solve for x
    x = 37,482,088.58/7,856.40
  6. Step 6: Final answer
    x = 4,770.90

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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.