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Finding the Fourth Proportional to 2,486.21, 3,729.08 and 637.28

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Solution

The fourth proportional to 2,486.21, 3,729.08 and 637.28 is: 955.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.21 : 3,729.08 = 637.28 : x
  2. Step 2: Convert to fraction form
    2,486.21/3,729.08 = 637.28/x
  3. Step 3: Cross multiply
    2,486.21x = 3,729.08 × 637.28
  4. Step 4: Simplify right side
    2,486.21x = 2,376,451.05
  5. Step 5: Solve for x
    x = 2,376,451.05/2,486.21
  6. Step 6: Final answer
    x = 955.85

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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.