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Finding the Fourth Proportional to 8,153.87, 11,247.24 and 6,787.65

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Solution

The fourth proportional to 8,153.87, 11,247.24 and 6,787.65 is: 9,362.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.87 : 11,247.24 = 6,787.65 : x
  2. Step 2: Convert to fraction form
    8,153.87/11,247.24 = 6,787.65/x
  3. Step 3: Cross multiply
    8,153.87x = 11,247.24 × 6,787.65
  4. Step 4: Simplify right side
    8,153.87x = 76,342,328.59
  5. Step 5: Solve for x
    x = 76,342,328.59/8,153.87
  6. Step 6: Final answer
    x = 9,362.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.