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Finding the Fourth Proportional to 3,517, 5,272.05 and 1,957.75

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Solution

The fourth proportional to 3,517, 5,272.05 and 1,957.75 is: 2,934.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517 : 5,272.05 = 1,957.75 : x
  2. Step 2: Convert to fraction form
    3,517/5,272.05 = 1,957.75/x
  3. Step 3: Cross multiply
    3,517x = 5,272.05 × 1,957.75
  4. Step 4: Simplify right side
    3,517x = 10,321,355.89
  5. Step 5: Solve for x
    x = 10,321,355.89/3,517
  6. Step 6: Final answer
    x = 2,934.70

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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.