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Finding the Fourth Proportional to 3,856.57, 5,784.87 and 934.87

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Solution

The fourth proportional to 3,856.57, 5,784.87 and 934.87 is: 1,402.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.57 : 5,784.87 = 934.87 : x
  2. Step 2: Convert to fraction form
    3,856.57/5,784.87 = 934.87/x
  3. Step 3: Cross multiply
    3,856.57x = 5,784.87 × 934.87
  4. Step 4: Simplify right side
    3,856.57x = 5,408,101.42
  5. Step 5: Solve for x
    x = 5,408,101.42/3,856.57
  6. Step 6: Final answer
    x = 1,402.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.