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Finding the Fourth Proportional to 18,391.67, 27,565.80 and 7,858.61

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Solution

The fourth proportional to 18,391.67, 27,565.80 and 7,858.61 is: 11,778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,391.67 : 27,565.80 = 7,858.61 : x
  2. Step 2: Convert to fraction form
    18,391.67/27,565.80 = 7,858.61/x
  3. Step 3: Cross multiply
    18,391.67x = 27,565.80 × 7,858.61
  4. Step 4: Simplify right side
    18,391.67x = 216,628,871.54
  5. Step 5: Solve for x
    x = 216,628,871.54/18,391.67
  6. Step 6: Final answer
    x = 11,778.64

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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.