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Finding the Fourth Proportional to 3,860.38, 5,790.58 and 938.68

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Solution

The fourth proportional to 3,860.38, 5,790.58 and 938.68 is: 1,408.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.38 : 5,790.58 = 938.68 : x
  2. Step 2: Convert to fraction form
    3,860.38/5,790.58 = 938.68/x
  3. Step 3: Cross multiply
    3,860.38x = 5,790.58 × 938.68
  4. Step 4: Simplify right side
    3,860.38x = 5,435,501.63
  5. Step 5: Solve for x
    x = 5,435,501.63/3,860.38
  6. Step 6: Final answer
    x = 1,408.02

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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.