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Finding the Fourth Proportional to 2,156.14, 3,233.94 and 856.63

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Solution

The fourth proportional to 2,156.14, 3,233.94 and 856.63 is: 1,284.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.14 : 3,233.94 = 856.63 : x
  2. Step 2: Convert to fraction form
    2,156.14/3,233.94 = 856.63/x
  3. Step 3: Cross multiply
    2,156.14x = 3,233.94 × 856.63
  4. Step 4: Simplify right side
    2,156.14x = 2,770,290.02
  5. Step 5: Solve for x
    x = 2,770,290.02/2,156.14
  6. Step 6: Final answer
    x = 1,284.84

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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.