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Finding the Fourth Proportional to 2,490.90, 3,724.35 and 2,129.94

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Solution

The fourth proportional to 2,490.90, 3,724.35 and 2,129.94 is: 3,184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.90 : 3,724.35 = 2,129.94 : x
  2. Step 2: Convert to fraction form
    2,490.90/3,724.35 = 2,129.94/x
  3. Step 3: Cross multiply
    2,490.90x = 3,724.35 × 2,129.94
  4. Step 4: Simplify right side
    2,490.90x = 7,932,642.04
  5. Step 5: Solve for x
    x = 7,932,642.04/2,490.90
  6. Step 6: Final answer
    x = 3,184.65

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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.