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Finding the Fourth Proportional to 7,787.87, 11,674.86 and 2,856.36

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Solution

The fourth proportional to 7,787.87, 11,674.86 and 2,856.36 is: 4,282.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.87 : 11,674.86 = 2,856.36 : x
  2. Step 2: Convert to fraction form
    7,787.87/11,674.86 = 2,856.36/x
  3. Step 3: Cross multiply
    7,787.87x = 11,674.86 × 2,856.36
  4. Step 4: Simplify right side
    7,787.87x = 33,347,603.11
  5. Step 5: Solve for x
    x = 33,347,603.11/7,787.87
  6. Step 6: Final answer
    x = 4,282.00

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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.