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Finding the Fourth Proportional to 1,801.72, 2,703.42 and 1,772.60

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Solution

The fourth proportional to 1,801.72, 2,703.42 and 1,772.60 is: 2,659.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.72 : 2,703.42 = 1,772.60 : x
  2. Step 2: Convert to fraction form
    1,801.72/2,703.42 = 1,772.60/x
  3. Step 3: Cross multiply
    1,801.72x = 2,703.42 × 1,772.60
  4. Step 4: Simplify right side
    1,801.72x = 4,792,082.29
  5. Step 5: Solve for x
    x = 4,792,082.29/1,801.72
  6. Step 6: Final answer
    x = 2,659.73

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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.