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Finding the Fourth Proportional to 5,781.16, 7,977.96 and 3,128.54

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Solution

The fourth proportional to 5,781.16, 7,977.96 and 3,128.54 is: 4,317.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.16 : 7,977.96 = 3,128.54 : x
  2. Step 2: Convert to fraction form
    5,781.16/7,977.96 = 3,128.54/x
  3. Step 3: Cross multiply
    5,781.16x = 7,977.96 × 3,128.54
  4. Step 4: Simplify right side
    5,781.16x = 24,959,366.98
  5. Step 5: Solve for x
    x = 24,959,366.98/5,781.16
  6. Step 6: Final answer
    x = 4,317.36

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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.