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Finding the Fourth Proportional to 20,702, 31,056.26 and 6,854.24

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Solution

The fourth proportional to 20,702, 31,056.26 and 6,854.24 is: 10,282.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,702 : 31,056.26 = 6,854.24 : x
  2. Step 2: Convert to fraction form
    20,702/31,056.26 = 6,854.24/x
  3. Step 3: Cross multiply
    20,702x = 31,056.26 × 6,854.24
  4. Step 4: Simplify right side
    20,702x = 212,867,059.54
  5. Step 5: Solve for x
    x = 212,867,059.54/20,702
  6. Step 6: Final answer
    x = 10,282.44

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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.