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Finding the Fourth Proportional to 6,918.68, 10,375.90 and 6,541.43

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Solution

The fourth proportional to 6,918.68, 10,375.90 and 6,541.43 is: 9,810.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,918.68 : 10,375.90 = 6,541.43 : x
  2. Step 2: Convert to fraction form
    6,918.68/10,375.90 = 6,541.43/x
  3. Step 3: Cross multiply
    6,918.68x = 10,375.90 × 6,541.43
  4. Step 4: Simplify right side
    6,918.68x = 67,873,155.30
  5. Step 5: Solve for x
    x = 67,873,155.30/6,918.68
  6. Step 6: Final answer
    x = 9,810.13

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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.