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Finding the Fourth Proportional to 1,750.94, 2,626.78 and 1,464.38

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Solution

The fourth proportional to 1,750.94, 2,626.78 and 1,464.38 is: 2,196.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.94 : 2,626.78 = 1,464.38 : x
  2. Step 2: Convert to fraction form
    1,750.94/2,626.78 = 1,464.38/x
  3. Step 3: Cross multiply
    1,750.94x = 2,626.78 × 1,464.38
  4. Step 4: Simplify right side
    1,750.94x = 3,846,604.10
  5. Step 5: Solve for x
    x = 3,846,604.10/1,750.94
  6. Step 6: Final answer
    x = 2,196.88

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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.