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Finding the Fourth Proportional to 20,873.53, 31,314.14 and 6,834.34

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Solution

The fourth proportional to 20,873.53, 31,314.14 and 6,834.34 is: 10,252.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,873.53 : 31,314.14 = 6,834.34 : x
  2. Step 2: Convert to fraction form
    20,873.53/31,314.14 = 6,834.34/x
  3. Step 3: Cross multiply
    20,873.53x = 31,314.14 × 6,834.34
  4. Step 4: Simplify right side
    20,873.53x = 214,011,367.11
  5. Step 5: Solve for x
    x = 214,011,367.11/20,873.53
  6. Step 6: Final answer
    x = 10,252.76

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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.