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Finding the Fourth Proportional to 7,894.46, 11,841.01 and 3,214.97

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Solution

The fourth proportional to 7,894.46, 11,841.01 and 3,214.97 is: 4,822.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.46 : 11,841.01 = 3,214.97 : x
  2. Step 2: Convert to fraction form
    7,894.46/11,841.01 = 3,214.97/x
  3. Step 3: Cross multiply
    7,894.46x = 11,841.01 × 3,214.97
  4. Step 4: Simplify right side
    7,894.46x = 38,068,444.82
  5. Step 5: Solve for x
    x = 38,068,444.82/7,894.46
  6. Step 6: Final answer
    x = 4,822.17

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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.