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Finding the Fourth Proportional to 11,416.92, 15,760.62 and 7,230.84

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Solution

The fourth proportional to 11,416.92, 15,760.62 and 7,230.84 is: 9,981.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.92 : 15,760.62 = 7,230.84 : x
  2. Step 2: Convert to fraction form
    11,416.92/15,760.62 = 7,230.84/x
  3. Step 3: Cross multiply
    11,416.92x = 15,760.62 × 7,230.84
  4. Step 4: Simplify right side
    11,416.92x = 113,962,521.52
  5. Step 5: Solve for x
    x = 113,962,521.52/11,416.92
  6. Step 6: Final answer
    x = 9,981.90

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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.