Home / 10,634-15,945.68-6,193.12

Finding the Fourth Proportional to 10,634, 15,945.68 and 6,193.12

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Solution

The fourth proportional to 10,634, 15,945.68 and 6,193.12 is: 9,286.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634 : 15,945.68 = 6,193.12 : x
  2. Step 2: Convert to fraction form
    10,634/15,945.68 = 6,193.12/x
  3. Step 3: Cross multiply
    10,634x = 15,945.68 × 6,193.12
  4. Step 4: Simplify right side
    10,634x = 98,753,509.72
  5. Step 5: Solve for x
    x = 98,753,509.72/10,634
  6. Step 6: Final answer
    x = 9,286.58

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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.