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Finding the Fourth Proportional to 7,981.14, 11,011.12 and 4,622.12

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Solution

The fourth proportional to 7,981.14, 11,011.12 and 4,622.12 is: 6,376.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,981.14 : 11,011.12 = 4,622.12 : x
  2. Step 2: Convert to fraction form
    7,981.14/11,011.12 = 4,622.12/x
  3. Step 3: Cross multiply
    7,981.14x = 11,011.12 × 4,622.12
  4. Step 4: Simplify right side
    7,981.14x = 50,894,717.97
  5. Step 5: Solve for x
    x = 50,894,717.97/7,981.14
  6. Step 6: Final answer
    x = 6,376.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.