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Finding the Fourth Proportional to 3,098.20, 4,646.78 and 906.68

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Solution

The fourth proportional to 3,098.20, 4,646.78 and 906.68 is: 1,359.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.20 : 4,646.78 = 906.68 : x
  2. Step 2: Convert to fraction form
    3,098.20/4,646.78 = 906.68/x
  3. Step 3: Cross multiply
    3,098.20x = 4,646.78 × 906.68
  4. Step 4: Simplify right side
    3,098.20x = 4,213,142.49
  5. Step 5: Solve for x
    x = 4,213,142.49/3,098.20
  6. Step 6: Final answer
    x = 1,359.87

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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.