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Finding the Fourth Proportional to 2,490.13, 3,735.18 and 641.25

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Solution

The fourth proportional to 2,490.13, 3,735.18 and 641.25 is: 961.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.13 : 3,735.18 = 641.25 : x
  2. Step 2: Convert to fraction form
    2,490.13/3,735.18 = 641.25/x
  3. Step 3: Cross multiply
    2,490.13x = 3,735.18 × 641.25
  4. Step 4: Simplify right side
    2,490.13x = 2,395,184.18
  5. Step 5: Solve for x
    x = 2,395,184.18/2,490.13
  6. Step 6: Final answer
    x = 961.87

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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.