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Finding the Fourth Proportional to 2,339, 3,490.36 and 2,027.96

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Solution

The fourth proportional to 2,339, 3,490.36 and 2,027.96 is: 3,026.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339 : 3,490.36 = 2,027.96 : x
  2. Step 2: Convert to fraction form
    2,339/3,490.36 = 2,027.96/x
  3. Step 3: Cross multiply
    2,339x = 3,490.36 × 2,027.96
  4. Step 4: Simplify right side
    2,339x = 7,078,310.47
  5. Step 5: Solve for x
    x = 7,078,310.47/2,339
  6. Step 6: Final answer
    x = 3,026.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.