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Finding the Fourth Proportional to 7,981.83, 11,968.11 and 3,051.81

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Solution

The fourth proportional to 7,981.83, 11,968.11 and 3,051.81 is: 4,575.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,981.83 : 11,968.11 = 3,051.81 : x
  2. Step 2: Convert to fraction form
    7,981.83/11,968.11 = 3,051.81/x
  3. Step 3: Cross multiply
    7,981.83x = 11,968.11 × 3,051.81
  4. Step 4: Simplify right side
    7,981.83x = 36,524,397.78
  5. Step 5: Solve for x
    x = 36,524,397.78/7,981.83
  6. Step 6: Final answer
    x = 4,575.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.