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Finding the Fourth Proportional to 8,357, 12,535.66 and 3,912.20

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Solution

The fourth proportional to 8,357, 12,535.66 and 3,912.20 is: 5,868.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357 : 12,535.66 = 3,912.20 : x
  2. Step 2: Convert to fraction form
    8,357/12,535.66 = 3,912.20/x
  3. Step 3: Cross multiply
    8,357x = 12,535.66 × 3,912.20
  4. Step 4: Simplify right side
    8,357x = 49,042,009.05
  5. Step 5: Solve for x
    x = 49,042,009.05/8,357
  6. Step 6: Final answer
    x = 5,868.37

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1.5x scale

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.