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Finding the Fourth Proportional to 5,708.75, 7,877.90 and 3,190.86

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Solution

The fourth proportional to 5,708.75, 7,877.90 and 3,190.86 is: 4,403.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.75 : 7,877.90 = 3,190.86 : x
  2. Step 2: Convert to fraction form
    5,708.75/7,877.90 = 3,190.86/x
  3. Step 3: Cross multiply
    5,708.75x = 7,877.90 × 3,190.86
  4. Step 4: Simplify right side
    5,708.75x = 25,137,283.97
  5. Step 5: Solve for x
    x = 25,137,283.97/5,708.75
  6. Step 6: Final answer
    x = 4,403.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.