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Finding the Fourth Proportional to 15,903, 23,857.11 and 6,540.48

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Solution

The fourth proportional to 15,903, 23,857.11 and 6,540.48 is: 9,811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,903 : 23,857.11 = 6,540.48 : x
  2. Step 2: Convert to fraction form
    15,903/23,857.11 = 6,540.48/x
  3. Step 3: Cross multiply
    15,903x = 23,857.11 × 6,540.48
  4. Step 4: Simplify right side
    15,903x = 156,036,950.81
  5. Step 5: Solve for x
    x = 156,036,950.81/15,903
  6. Step 6: Final answer
    x = 9,811.79

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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.