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Finding the Fourth Proportional to 2,486.30, 3,729.44 and 842.81

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Solution

The fourth proportional to 2,486.30, 3,729.44 and 842.81 is: 1,264.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.30 : 3,729.44 = 842.81 : x
  2. Step 2: Convert to fraction form
    2,486.30/3,729.44 = 842.81/x
  3. Step 3: Cross multiply
    2,486.30x = 3,729.44 × 842.81
  4. Step 4: Simplify right side
    2,486.30x = 3,143,192.79
  5. Step 5: Solve for x
    x = 3,143,192.79/2,486.30
  6. Step 6: Final answer
    x = 1,264.21

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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.