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Finding the Fourth Proportional to 2,583.19, 3,874.75 and 635.41

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Solution

The fourth proportional to 2,583.19, 3,874.75 and 635.41 is: 953.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.19 : 3,874.75 = 635.41 : x
  2. Step 2: Convert to fraction form
    2,583.19/3,874.75 = 635.41/x
  3. Step 3: Cross multiply
    2,583.19x = 3,874.75 × 635.41
  4. Step 4: Simplify right side
    2,583.19x = 2,462,054.90
  5. Step 5: Solve for x
    x = 2,462,054.90/2,583.19
  6. Step 6: Final answer
    x = 953.11

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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.