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Finding the Fourth Proportional to 3,165.11, 4,747.62 and 856.61

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Solution

The fourth proportional to 3,165.11, 4,747.62 and 856.61 is: 1,284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.11 : 4,747.62 = 856.61 : x
  2. Step 2: Convert to fraction form
    3,165.11/4,747.62 = 856.61/x
  3. Step 3: Cross multiply
    3,165.11x = 4,747.62 × 856.61
  4. Step 4: Simplify right side
    3,165.11x = 4,066,835.03
  5. Step 5: Solve for x
    x = 4,066,835.03/3,165.11
  6. Step 6: Final answer
    x = 1,284.90

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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.