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Finding the Fourth Proportional to 3,380.91, 4,663.35 and 2,938.05

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Solution

The fourth proportional to 3,380.91, 4,663.35 and 2,938.05 is: 4,052.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.91 : 4,663.35 = 2,938.05 : x
  2. Step 2: Convert to fraction form
    3,380.91/4,663.35 = 2,938.05/x
  3. Step 3: Cross multiply
    3,380.91x = 4,663.35 × 2,938.05
  4. Step 4: Simplify right side
    3,380.91x = 13,701,155.47
  5. Step 5: Solve for x
    x = 13,701,155.47/3,380.91
  6. Step 6: Final answer
    x = 4,052.51

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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.