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Finding the Fourth Proportional to 3,098.50, 4,648.17 and 906.94

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Solution

The fourth proportional to 3,098.50, 4,648.17 and 906.94 is: 1,360.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.50 : 4,648.17 = 906.94 : x
  2. Step 2: Convert to fraction form
    3,098.50/4,648.17 = 906.94/x
  3. Step 3: Cross multiply
    3,098.50x = 4,648.17 × 906.94
  4. Step 4: Simplify right side
    3,098.50x = 4,215,611.30
  5. Step 5: Solve for x
    x = 4,215,611.30/3,098.50
  6. Step 6: Final answer
    x = 1,360.53

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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.