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Finding the Fourth Proportional to 5,174.22, 7,723.77 and 4,788.74

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Solution

The fourth proportional to 5,174.22, 7,723.77 and 4,788.74 is: 7,148.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.22 : 7,723.77 = 4,788.74 : x
  2. Step 2: Convert to fraction form
    5,174.22/7,723.77 = 4,788.74/x
  3. Step 3: Cross multiply
    5,174.22x = 7,723.77 × 4,788.74
  4. Step 4: Simplify right side
    5,174.22x = 36,987,102.41
  5. Step 5: Solve for x
    x = 36,987,102.41/5,174.22
  6. Step 6: Final answer
    x = 7,148.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.