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Finding the Fourth Proportional to 10,660.92, 14,712.86 and 6,186.20

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Solution

The fourth proportional to 10,660.92, 14,712.86 and 6,186.20 is: 8,537.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.92 : 14,712.86 = 6,186.20 : x
  2. Step 2: Convert to fraction form
    10,660.92/14,712.86 = 6,186.20/x
  3. Step 3: Cross multiply
    10,660.92x = 14,712.86 × 6,186.20
  4. Step 4: Simplify right side
    10,660.92x = 91,016,694.53
  5. Step 5: Solve for x
    x = 91,016,694.53/10,660.92
  6. Step 6: Final answer
    x = 8,537.41

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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.