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Finding the Fourth Proportional to 7,787.07, 11,680.52 and 2,856.65

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Solution

The fourth proportional to 7,787.07, 11,680.52 and 2,856.65 is: 4,284.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.07 : 11,680.52 = 2,856.65 : x
  2. Step 2: Convert to fraction form
    7,787.07/11,680.52 = 2,856.65/x
  3. Step 3: Cross multiply
    7,787.07x = 11,680.52 × 2,856.65
  4. Step 4: Simplify right side
    7,787.07x = 33,367,084.77
  5. Step 5: Solve for x
    x = 33,367,084.77/7,787.07
  6. Step 6: Final answer
    x = 4,284.93

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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.