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Finding the Fourth Proportional to 11,493.96, 15,825 and 9,808.61

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Solution

The fourth proportional to 11,493.96, 15,825 and 9,808.61 is: 13,504.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.96 : 15,825 = 9,808.61 : x
  2. Step 2: Convert to fraction form
    11,493.96/15,825 = 9,808.61/x
  3. Step 3: Cross multiply
    11,493.96x = 15,825 × 9,808.61
  4. Step 4: Simplify right side
    11,493.96x = 155,221,174.13
  5. Step 5: Solve for x
    x = 155,221,174.13/11,493.96
  6. Step 6: Final answer
    x = 13,504.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.