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Finding the Fourth Proportional to 3,403.98, 4,695 and 2,931

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Solution

The fourth proportional to 3,403.98, 4,695 and 2,931 is: 4,042.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.98 : 4,695 = 2,931 : x
  2. Step 2: Convert to fraction form
    3,403.98/4,695 = 2,931/x
  3. Step 3: Cross multiply
    3,403.98x = 4,695 × 2,931
  4. Step 4: Simplify right side
    3,403.98x = 13,761,045
  5. Step 5: Solve for x
    x = 13,761,045/3,403.98
  6. Step 6: Final answer
    x = 4,042.63

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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.