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Finding the Fourth Proportional to 6,894.51, 10,340.78 and 2,213.91

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Solution

The fourth proportional to 6,894.51, 10,340.78 and 2,213.91 is: 3,320.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.51 : 10,340.78 = 2,213.91 : x
  2. Step 2: Convert to fraction form
    6,894.51/10,340.78 = 2,213.91/x
  3. Step 3: Cross multiply
    6,894.51x = 10,340.78 × 2,213.91
  4. Step 4: Simplify right side
    6,894.51x = 22,893,556.25
  5. Step 5: Solve for x
    x = 22,893,556.25/6,894.51
  6. Step 6: Final answer
    x = 3,320.55

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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.