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Finding the Fourth Proportional to 2,490.23, 3,724.95 and 1,749.79

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Solution

The fourth proportional to 2,490.23, 3,724.95 and 1,749.79 is: 2,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.23 : 3,724.95 = 1,749.79 : x
  2. Step 2: Convert to fraction form
    2,490.23/3,724.95 = 1,749.79/x
  3. Step 3: Cross multiply
    2,490.23x = 3,724.95 × 1,749.79
  4. Step 4: Simplify right side
    2,490.23x = 6,517,883.01
  5. Step 5: Solve for x
    x = 6,517,883.01/2,490.23
  6. Step 6: Final answer
    x = 2,617.38

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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.