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Finding the Fourth Proportional to 5,781.08, 7,977.88 and 3,128.49

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Solution

The fourth proportional to 5,781.08, 7,977.88 and 3,128.49 is: 4,317.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.08 : 7,977.88 = 3,128.49 : x
  2. Step 2: Convert to fraction form
    5,781.08/7,977.88 = 3,128.49/x
  3. Step 3: Cross multiply
    5,781.08x = 7,977.88 × 3,128.49
  4. Step 4: Simplify right side
    5,781.08x = 24,958,717.80
  5. Step 5: Solve for x
    x = 24,958,717.80/5,781.08
  6. Step 6: Final answer
    x = 4,317.31

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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.