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Finding the Fourth Proportional to 3,856.21, 5,784.28 and 934.49

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Solution

The fourth proportional to 3,856.21, 5,784.28 and 934.49 is: 1,401.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.21 : 5,784.28 = 934.49 : x
  2. Step 2: Convert to fraction form
    3,856.21/5,784.28 = 934.49/x
  3. Step 3: Cross multiply
    3,856.21x = 5,784.28 × 934.49
  4. Step 4: Simplify right side
    3,856.21x = 5,405,363.94
  5. Step 5: Solve for x
    x = 5,405,363.94/3,856.21
  6. Step 6: Final answer
    x = 1,401.73

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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.