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Finding the Fourth Proportional to 3,860.53, 5,790.80 and 938.84

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Solution

The fourth proportional to 3,860.53, 5,790.80 and 938.84 is: 1,408.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.53 : 5,790.80 = 938.84 : x
  2. Step 2: Convert to fraction form
    3,860.53/5,790.80 = 938.84/x
  3. Step 3: Cross multiply
    3,860.53x = 5,790.80 × 938.84
  4. Step 4: Simplify right side
    3,860.53x = 5,436,608.07
  5. Step 5: Solve for x
    x = 5,436,608.07/3,860.53
  6. Step 6: Final answer
    x = 1,408.26

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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.