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Finding the Fourth Proportional to 3,856.65, 5,785.01 and 934.96

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Solution

The fourth proportional to 3,856.65, 5,785.01 and 934.96 is: 1,402.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.65 : 5,785.01 = 934.96 : x
  2. Step 2: Convert to fraction form
    3,856.65/5,785.01 = 934.96/x
  3. Step 3: Cross multiply
    3,856.65x = 5,785.01 × 934.96
  4. Step 4: Simplify right side
    3,856.65x = 5,408,739.07
  5. Step 5: Solve for x
    x = 5,408,739.07/3,856.65
  6. Step 6: Final answer
    x = 1,402.44

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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.