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Finding the Fourth Proportional to 5,781.36, 7,978.28 and 3,128.80

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Solution

The fourth proportional to 5,781.36, 7,978.28 and 3,128.80 is: 4,317.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.36 : 7,978.28 = 3,128.80 : x
  2. Step 2: Convert to fraction form
    5,781.36/7,978.28 = 3,128.80/x
  3. Step 3: Cross multiply
    5,781.36x = 7,978.28 × 3,128.80
  4. Step 4: Simplify right side
    5,781.36x = 24,962,442.46
  5. Step 5: Solve for x
    x = 24,962,442.46/5,781.36
  6. Step 6: Final answer
    x = 4,317.75

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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.