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Finding the Fourth Proportional to 2,486.49, 3,729.15 and 1,099.07

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Solution

The fourth proportional to 2,486.49, 3,729.15 and 1,099.07 is: 1,648.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.49 : 3,729.15 = 1,099.07 : x
  2. Step 2: Convert to fraction form
    2,486.49/3,729.15 = 1,099.07/x
  3. Step 3: Cross multiply
    2,486.49x = 3,729.15 × 1,099.07
  4. Step 4: Simplify right side
    2,486.49x = 4,098,592.23
  5. Step 5: Solve for x
    x = 4,098,592.23/2,486.49
  6. Step 6: Final answer
    x = 1,648.35

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1.5x scale

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.