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Finding the Fourth Proportional to 5,781.50, 7,978.48 and 3,128.90

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Solution

The fourth proportional to 5,781.50, 7,978.48 and 3,128.90 is: 4,317.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.50 : 7,978.48 = 3,128.90 : x
  2. Step 2: Convert to fraction form
    5,781.50/7,978.48 = 3,128.90/x
  3. Step 3: Cross multiply
    5,781.50x = 7,978.48 × 3,128.90
  4. Step 4: Simplify right side
    5,781.50x = 24,963,866.07
  5. Step 5: Solve for x
    x = 24,963,866.07/5,781.50
  6. Step 6: Final answer
    x = 4,317.89

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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.