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Finding the Fourth Proportional to 2,486.61, 3,728.70 and 1,446.90

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Solution

The fourth proportional to 2,486.61, 3,728.70 and 1,446.90 is: 2,169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.61 : 3,728.70 = 1,446.90 : x
  2. Step 2: Convert to fraction form
    2,486.61/3,728.70 = 1,446.90/x
  3. Step 3: Cross multiply
    2,486.61x = 3,728.70 × 1,446.90
  4. Step 4: Simplify right side
    2,486.61x = 5,395,056.03
  5. Step 5: Solve for x
    x = 5,395,056.03/2,486.61
  6. Step 6: Final answer
    x = 2,169.64

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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.