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Finding the Fourth Proportional to 2,457.92, 3,687.78 and 997.22

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Solution

The fourth proportional to 2,457.92, 3,687.78 and 997.22 is: 1,496.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.92 : 3,687.78 = 997.22 : x
  2. Step 2: Convert to fraction form
    2,457.92/3,687.78 = 997.22/x
  3. Step 3: Cross multiply
    2,457.92x = 3,687.78 × 997.22
  4. Step 4: Simplify right side
    2,457.92x = 3,677,527.97
  5. Step 5: Solve for x
    x = 3,677,527.97/2,457.92
  6. Step 6: Final answer
    x = 1,496.20

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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.