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Finding the Fourth Proportional to 20,754, 31,131.27 and 6,903

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Solution

The fourth proportional to 20,754, 31,131.27 and 6,903 is: 10,354.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,754 : 31,131.27 = 6,903 : x
  2. Step 2: Convert to fraction form
    20,754/31,131.27 = 6,903/x
  3. Step 3: Cross multiply
    20,754x = 31,131.27 × 6,903
  4. Step 4: Simplify right side
    20,754x = 214,899,156.81
  5. Step 5: Solve for x
    x = 214,899,156.81/20,754
  6. Step 6: Final answer
    x = 10,354.59

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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.