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Finding the Fourth Proportional to 11,900.92, 16,422.99 and 6,865.15

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Solution

The fourth proportional to 11,900.92, 16,422.99 and 6,865.15 is: 9,473.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.92 : 16,422.99 = 6,865.15 : x
  2. Step 2: Convert to fraction form
    11,900.92/16,422.99 = 6,865.15/x
  3. Step 3: Cross multiply
    11,900.92x = 16,422.99 × 6,865.15
  4. Step 4: Simplify right side
    11,900.92x = 112,746,289.80
  5. Step 5: Solve for x
    x = 112,746,289.80/11,900.92
  6. Step 6: Final answer
    x = 9,473.75

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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.