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Finding the Fourth Proportional to 3,092, 4,266.97 and 1,675.71

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Solution

The fourth proportional to 3,092, 4,266.97 and 1,675.71 is: 2,312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092 : 4,266.97 = 1,675.71 : x
  2. Step 2: Convert to fraction form
    3,092/4,266.97 = 1,675.71/x
  3. Step 3: Cross multiply
    3,092x = 4,266.97 × 1,675.71
  4. Step 4: Simplify right side
    3,092x = 7,150,204.30
  5. Step 5: Solve for x
    x = 7,150,204.30/3,092
  6. Step 6: Final answer
    x = 2,312.49

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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.