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Finding the Fourth Proportional to 3,641.80, 5,026.98 and 2,245

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Solution

The fourth proportional to 3,641.80, 5,026.98 and 2,245 is: 3,098.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.80 : 5,026.98 = 2,245 : x
  2. Step 2: Convert to fraction form
    3,641.80/5,026.98 = 2,245/x
  3. Step 3: Cross multiply
    3,641.80x = 5,026.98 × 2,245
  4. Step 4: Simplify right side
    3,641.80x = 11,285,570.10
  5. Step 5: Solve for x
    x = 11,285,570.10/3,641.80
  6. Step 6: Final answer
    x = 3,098.90

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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.