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Finding the Fourth Proportional to 2,592.90, 3,890.43 and 2,072.34

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Solution

The fourth proportional to 2,592.90, 3,890.43 and 2,072.34 is: 3,109.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.90 : 3,890.43 = 2,072.34 : x
  2. Step 2: Convert to fraction form
    2,592.90/3,890.43 = 2,072.34/x
  3. Step 3: Cross multiply
    2,592.90x = 3,890.43 × 2,072.34
  4. Step 4: Simplify right side
    2,592.90x = 8,062,293.71
  5. Step 5: Solve for x
    x = 8,062,293.71/2,592.90
  6. Step 6: Final answer
    x = 3,109.37

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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.