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Finding the Fourth Proportional to 2,687.96, 4,035.02 and 1,648.45

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Solution

The fourth proportional to 2,687.96, 4,035.02 and 1,648.45 is: 2,474.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.96 : 4,035.02 = 1,648.45 : x
  2. Step 2: Convert to fraction form
    2,687.96/4,035.02 = 1,648.45/x
  3. Step 3: Cross multiply
    2,687.96x = 4,035.02 × 1,648.45
  4. Step 4: Simplify right side
    2,687.96x = 6,651,525.52
  5. Step 5: Solve for x
    x = 6,651,525.52/2,687.96
  6. Step 6: Final answer
    x = 2,474.56

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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.