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Finding the Fourth Proportional to 2,602.73, 3,902.03 and 1,505.85

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Solution

The fourth proportional to 2,602.73, 3,902.03 and 1,505.85 is: 2,257.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.73 : 3,902.03 = 1,505.85 : x
  2. Step 2: Convert to fraction form
    2,602.73/3,902.03 = 1,505.85/x
  3. Step 3: Cross multiply
    2,602.73x = 3,902.03 × 1,505.85
  4. Step 4: Simplify right side
    2,602.73x = 5,875,871.88
  5. Step 5: Solve for x
    x = 5,875,871.88/2,602.73
  6. Step 6: Final answer
    x = 2,257.58

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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.