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Finding the Fourth Proportional to 6,894.51, 10,342.10 and 1,964.49

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Solution

The fourth proportional to 6,894.51, 10,342.10 and 1,964.49 is: 2,946.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.51 : 10,342.10 = 1,964.49 : x
  2. Step 2: Convert to fraction form
    6,894.51/10,342.10 = 1,964.49/x
  3. Step 3: Cross multiply
    6,894.51x = 10,342.10 × 1,964.49
  4. Step 4: Simplify right side
    6,894.51x = 20,316,942.21
  5. Step 5: Solve for x
    x = 20,316,942.21/6,894.51
  6. Step 6: Final answer
    x = 2,946.83

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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.