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Finding the Fourth Proportional to 2,491, 3,727.10 and 1,486.62

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Solution

The fourth proportional to 2,491, 3,727.10 and 1,486.62 is: 2,224.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491 : 3,727.10 = 1,486.62 : x
  2. Step 2: Convert to fraction form
    2,491/3,727.10 = 1,486.62/x
  3. Step 3: Cross multiply
    2,491x = 3,727.10 × 1,486.62
  4. Step 4: Simplify right side
    2,491x = 5,540,783.29
  5. Step 5: Solve for x
    x = 5,540,783.29/2,491
  6. Step 6: Final answer
    x = 2,224.32

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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.