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Finding the Fourth Proportional to 5,188.86, 7,821.60 and 4,887.90

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Solution

The fourth proportional to 5,188.86, 7,821.60 and 4,887.90 is: 7,367.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.86 : 7,821.60 = 4,887.90 : x
  2. Step 2: Convert to fraction form
    5,188.86/7,821.60 = 4,887.90/x
  3. Step 3: Cross multiply
    5,188.86x = 7,821.60 × 4,887.90
  4. Step 4: Simplify right side
    5,188.86x = 38,231,198.64
  5. Step 5: Solve for x
    x = 38,231,198.64/5,188.86
  6. Step 6: Final answer
    x = 7,367.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.