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Finding the Fourth Proportional to 6,862, 10,294.98 and 3,942.40

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Solution

The fourth proportional to 6,862, 10,294.98 and 3,942.40 is: 5,914.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862 : 10,294.98 = 3,942.40 : x
  2. Step 2: Convert to fraction form
    6,862/10,294.98 = 3,942.40/x
  3. Step 3: Cross multiply
    6,862x = 10,294.98 × 3,942.40
  4. Step 4: Simplify right side
    6,862x = 40,586,929.15
  5. Step 5: Solve for x
    x = 40,586,929.15/6,862
  6. Step 6: Final answer
    x = 5,914.74

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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.