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Finding the Fourth Proportional to 9,187.70, 13,781.48 and 3,993.57

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Solution

The fourth proportional to 9,187.70, 13,781.48 and 3,993.57 is: 5,990.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.70 : 13,781.48 = 3,993.57 : x
  2. Step 2: Convert to fraction form
    9,187.70/13,781.48 = 3,993.57/x
  3. Step 3: Cross multiply
    9,187.70x = 13,781.48 × 3,993.57
  4. Step 4: Simplify right side
    9,187.70x = 55,037,285.12
  5. Step 5: Solve for x
    x = 55,037,285.12/9,187.70
  6. Step 6: Final answer
    x = 5,990.33

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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.