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Finding the Fourth Proportional to 3,197.43, 4,796.91 and 1,006.14

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Solution

The fourth proportional to 3,197.43, 4,796.91 and 1,006.14 is: 1,509.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.43 : 4,796.91 = 1,006.14 : x
  2. Step 2: Convert to fraction form
    3,197.43/4,796.91 = 1,006.14/x
  3. Step 3: Cross multiply
    3,197.43x = 4,796.91 × 1,006.14
  4. Step 4: Simplify right side
    3,197.43x = 4,826,363.03
  5. Step 5: Solve for x
    x = 4,826,363.03/3,197.43
  6. Step 6: Final answer
    x = 1,509.45

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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.