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Finding the Fourth Proportional to 2,600.62, 3,901.46 and 845.48

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Solution

The fourth proportional to 2,600.62, 3,901.46 and 845.48 is: 1,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.62 : 3,901.46 = 845.48 : x
  2. Step 2: Convert to fraction form
    2,600.62/3,901.46 = 845.48/x
  3. Step 3: Cross multiply
    2,600.62x = 3,901.46 × 845.48
  4. Step 4: Simplify right side
    2,600.62x = 3,298,606.40
  5. Step 5: Solve for x
    x = 3,298,606.40/2,600.62
  6. Step 6: Final answer
    x = 1,268.39

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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.