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Finding the Fourth Proportional to 7,981.04, 11,969.12 and 3,818.84

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Solution

The fourth proportional to 7,981.04, 11,969.12 and 3,818.84 is: 5,727.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,981.04 : 11,969.12 = 3,818.84 : x
  2. Step 2: Convert to fraction form
    7,981.04/11,969.12 = 3,818.84/x
  3. Step 3: Cross multiply
    7,981.04x = 11,969.12 × 3,818.84
  4. Step 4: Simplify right side
    7,981.04x = 45,708,154.22
  5. Step 5: Solve for x
    x = 45,708,154.22/7,981.04
  6. Step 6: Final answer
    x = 5,727.09

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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.