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Finding the Fourth Proportional to 10,894.80, 16,343.20 and 3,398.40

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Solution

The fourth proportional to 10,894.80, 16,343.20 and 3,398.40 is: 5,097.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.80 : 16,343.20 = 3,398.40 : x
  2. Step 2: Convert to fraction form
    10,894.80/16,343.20 = 3,398.40/x
  3. Step 3: Cross multiply
    10,894.80x = 16,343.20 × 3,398.40
  4. Step 4: Simplify right side
    10,894.80x = 55,540,730.88
  5. Step 5: Solve for x
    x = 55,540,730.88/10,894.80
  6. Step 6: Final answer
    x = 5,097.91

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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.