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Finding the Fourth Proportional to 6,837.40, 10,260.42 and 3,921.40

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Solution

The fourth proportional to 6,837.40, 10,260.42 and 3,921.40 is: 5,884.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.40 : 10,260.42 = 3,921.40 : x
  2. Step 2: Convert to fraction form
    6,837.40/10,260.42 = 3,921.40/x
  3. Step 3: Cross multiply
    6,837.40x = 10,260.42 × 3,921.40
  4. Step 4: Simplify right side
    6,837.40x = 40,235,185.34
  5. Step 5: Solve for x
    x = 40,235,185.34/6,837.40
  6. Step 6: Final answer
    x = 5,884.58

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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.