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Finding the Fourth Proportional to 8,385.56, 12,569.42 and 3,993.74

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Solution

The fourth proportional to 8,385.56, 12,569.42 and 3,993.74 is: 5,986.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.56 : 12,569.42 = 3,993.74 : x
  2. Step 2: Convert to fraction form
    8,385.56/12,569.42 = 3,993.74/x
  3. Step 3: Cross multiply
    8,385.56x = 12,569.42 × 3,993.74
  4. Step 4: Simplify right side
    8,385.56x = 50,198,995.43
  5. Step 5: Solve for x
    x = 50,198,995.43/8,385.56
  6. Step 6: Final answer
    x = 5,986.36

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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.