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Finding the Fourth Proportional to 6,891.68, 10,335.95 and 1,961.21

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Solution

The fourth proportional to 6,891.68, 10,335.95 and 1,961.21 is: 2,941.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.68 : 10,335.95 = 1,961.21 : x
  2. Step 2: Convert to fraction form
    6,891.68/10,335.95 = 1,961.21/x
  3. Step 3: Cross multiply
    6,891.68x = 10,335.95 × 1,961.21
  4. Step 4: Simplify right side
    6,891.68x = 20,270,916.82
  5. Step 5: Solve for x
    x = 20,270,916.82/6,891.68
  6. Step 6: Final answer
    x = 2,941.36

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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.