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Finding the Fourth Proportional to 3,397.82, 4,689.25 and 1,905.86

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Solution

The fourth proportional to 3,397.82, 4,689.25 and 1,905.86 is: 2,630.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.82 : 4,689.25 = 1,905.86 : x
  2. Step 2: Convert to fraction form
    3,397.82/4,689.25 = 1,905.86/x
  3. Step 3: Cross multiply
    3,397.82x = 4,689.25 × 1,905.86
  4. Step 4: Simplify right side
    3,397.82x = 8,937,060.96
  5. Step 5: Solve for x
    x = 8,937,060.96/3,397.82
  6. Step 6: Final answer
    x = 2,630.24

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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.