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Finding the Fourth Proportional to 11,382.69, 15,712.20 and 7,799.67

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Solution

The fourth proportional to 11,382.69, 15,712.20 and 7,799.67 is: 10,766.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.69 : 15,712.20 = 7,799.67 : x
  2. Step 2: Convert to fraction form
    11,382.69/15,712.20 = 7,799.67/x
  3. Step 3: Cross multiply
    11,382.69x = 15,712.20 × 7,799.67
  4. Step 4: Simplify right side
    11,382.69x = 122,549,974.97
  5. Step 5: Solve for x
    x = 122,549,974.97/11,382.69
  6. Step 6: Final answer
    x = 10,766.35

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