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Finding the Fourth Proportional to 6,493.97, 9,743.22 and 2,111.40

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Solution

The fourth proportional to 6,493.97, 9,743.22 and 2,111.40 is: 3,167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.97 : 9,743.22 = 2,111.40 : x
  2. Step 2: Convert to fraction form
    6,493.97/9,743.22 = 2,111.40/x
  3. Step 3: Cross multiply
    6,493.97x = 9,743.22 × 2,111.40
  4. Step 4: Simplify right side
    6,493.97x = 20,571,834.71
  5. Step 5: Solve for x
    x = 20,571,834.71/6,493.97
  6. Step 6: Final answer
    x = 3,167.84

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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.