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Finding the Fourth Proportional to 5,131.86, 7,693.16 and 1,844.20

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Solution

The fourth proportional to 5,131.86, 7,693.16 and 1,844.20 is: 2,764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,131.86 : 7,693.16 = 1,844.20 : x
  2. Step 2: Convert to fraction form
    5,131.86/7,693.16 = 1,844.20/x
  3. Step 3: Cross multiply
    5,131.86x = 7,693.16 × 1,844.20
  4. Step 4: Simplify right side
    5,131.86x = 14,187,716.45
  5. Step 5: Solve for x
    x = 14,187,716.45/5,131.86
  6. Step 6: Final answer
    x = 2,764.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.