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Finding the Fourth Proportional to 2,990.52, 4,126.78 and 1,664.21

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Solution

The fourth proportional to 2,990.52, 4,126.78 and 1,664.21 is: 2,296.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.52 : 4,126.78 = 1,664.21 : x
  2. Step 2: Convert to fraction form
    2,990.52/4,126.78 = 1,664.21/x
  3. Step 3: Cross multiply
    2,990.52x = 4,126.78 × 1,664.21
  4. Step 4: Simplify right side
    2,990.52x = 6,867,840.94
  5. Step 5: Solve for x
    x = 6,867,840.94/2,990.52
  6. Step 6: Final answer
    x = 2,296.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.