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Finding the Fourth Proportional to 2,149.77, 3,224.66 and 916.95

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Solution

The fourth proportional to 2,149.77, 3,224.66 and 916.95 is: 1,375.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.77 : 3,224.66 = 916.95 : x
  2. Step 2: Convert to fraction form
    2,149.77/3,224.66 = 916.95/x
  3. Step 3: Cross multiply
    2,149.77x = 3,224.66 × 916.95
  4. Step 4: Simplify right side
    2,149.77x = 2,956,847.40
  5. Step 5: Solve for x
    x = 2,956,847.40/2,149.77
  6. Step 6: Final answer
    x = 1,375.43

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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.