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Finding the Fourth Proportional to 8,223.66, 12,380.99 and 5,643.54

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Solution

The fourth proportional to 8,223.66, 12,380.99 and 5,643.54 is: 8,496.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.66 : 12,380.99 = 5,643.54 : x
  2. Step 2: Convert to fraction form
    8,223.66/12,380.99 = 5,643.54/x
  3. Step 3: Cross multiply
    8,223.66x = 12,380.99 × 5,643.54
  4. Step 4: Simplify right side
    8,223.66x = 69,872,584.09
  5. Step 5: Solve for x
    x = 69,872,584.09/8,223.66
  6. Step 6: Final answer
    x = 8,496.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.