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Finding the Fourth Proportional to 5,197.77, 7,170.63 and 3,431.77

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Solution

The fourth proportional to 5,197.77, 7,170.63 and 3,431.77 is: 4,734.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.77 : 7,170.63 = 3,431.77 : x
  2. Step 2: Convert to fraction form
    5,197.77/7,170.63 = 3,431.77/x
  3. Step 3: Cross multiply
    5,197.77x = 7,170.63 × 3,431.77
  4. Step 4: Simplify right side
    5,197.77x = 24,607,922.12
  5. Step 5: Solve for x
    x = 24,607,922.12/5,197.77
  6. Step 6: Final answer
    x = 4,734.32

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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.