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Finding the Fourth Proportional to 2,754.81, 3,801.74 and 1,575.99

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Solution

The fourth proportional to 2,754.81, 3,801.74 and 1,575.99 is: 2,174.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.81 : 3,801.74 = 1,575.99 : x
  2. Step 2: Convert to fraction form
    2,754.81/3,801.74 = 1,575.99/x
  3. Step 3: Cross multiply
    2,754.81x = 3,801.74 × 1,575.99
  4. Step 4: Simplify right side
    2,754.81x = 5,991,496.34
  5. Step 5: Solve for x
    x = 5,991,496.34/2,754.81
  6. Step 6: Final answer
    x = 2,174.92

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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.