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Finding the Fourth Proportional to 2,340.50, 3,229.90 and 1,292.64

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Solution

The fourth proportional to 2,340.50, 3,229.90 and 1,292.64 is: 1,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.50 : 3,229.90 = 1,292.64 : x
  2. Step 2: Convert to fraction form
    2,340.50/3,229.90 = 1,292.64/x
  3. Step 3: Cross multiply
    2,340.50x = 3,229.90 × 1,292.64
  4. Step 4: Simplify right side
    2,340.50x = 4,175,097.94
  5. Step 5: Solve for x
    x = 4,175,097.94/2,340.50
  6. Step 6: Final answer
    x = 1,783.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.