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Finding the Fourth Proportional to 6,386.39, 9,578.47 and 1,942.97

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Solution

The fourth proportional to 6,386.39, 9,578.47 and 1,942.97 is: 2,914.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.39 : 9,578.47 = 1,942.97 : x
  2. Step 2: Convert to fraction form
    6,386.39/9,578.47 = 1,942.97/x
  3. Step 3: Cross multiply
    6,386.39x = 9,578.47 × 1,942.97
  4. Step 4: Simplify right side
    6,386.39x = 18,610,720.08
  5. Step 5: Solve for x
    x = 18,610,720.08/6,386.39
  6. Step 6: Final answer
    x = 2,914.12

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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.