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Finding the Fourth Proportional to 6,894.31, 10,343.08 and 1,964.02

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Solution

The fourth proportional to 6,894.31, 10,343.08 and 1,964.02 is: 2,946.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.31 : 10,343.08 = 1,964.02 : x
  2. Step 2: Convert to fraction form
    6,894.31/10,343.08 = 1,964.02/x
  3. Step 3: Cross multiply
    6,894.31x = 10,343.08 × 1,964.02
  4. Step 4: Simplify right side
    6,894.31x = 20,313,992.58
  5. Step 5: Solve for x
    x = 20,313,992.58/6,894.31
  6. Step 6: Final answer
    x = 2,946.49

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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.