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Finding the Fourth Proportional to 3,858.75, 5,788.12 and 937.05

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Solution

The fourth proportional to 3,858.75, 5,788.12 and 937.05 is: 1,405.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.75 : 5,788.12 = 937.05 : x
  2. Step 2: Convert to fraction form
    3,858.75/5,788.12 = 937.05/x
  3. Step 3: Cross multiply
    3,858.75x = 5,788.12 × 937.05
  4. Step 4: Simplify right side
    3,858.75x = 5,423,757.85
  5. Step 5: Solve for x
    x = 5,423,757.85/3,858.75
  6. Step 6: Final answer
    x = 1,405.57

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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.