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Finding the Fourth Proportional to 1,471.76, 2,027.50 and 1,261.27

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Solution

The fourth proportional to 1,471.76, 2,027.50 and 1,261.27 is: 1,737.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.76 : 2,027.50 = 1,261.27 : x
  2. Step 2: Convert to fraction form
    1,471.76/2,027.50 = 1,261.27/x
  3. Step 3: Cross multiply
    1,471.76x = 2,027.50 × 1,261.27
  4. Step 4: Simplify right side
    1,471.76x = 2,557,224.93
  5. Step 5: Solve for x
    x = 2,557,224.93/1,471.76
  6. Step 6: Final answer
    x = 1,737.53

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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.