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Finding the Fourth Proportional to 11,398.76, 15,732.92 and 6,684.56

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Solution

The fourth proportional to 11,398.76, 15,732.92 and 6,684.56 is: 9,226.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.76 : 15,732.92 = 6,684.56 : x
  2. Step 2: Convert to fraction form
    11,398.76/15,732.92 = 6,684.56/x
  3. Step 3: Cross multiply
    11,398.76x = 15,732.92 × 6,684.56
  4. Step 4: Simplify right side
    11,398.76x = 105,167,653.62
  5. Step 5: Solve for x
    x = 105,167,653.62/11,398.76
  6. Step 6: Final answer
    x = 9,226.23

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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.