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Finding the Fourth Proportional to 4,952.10, 6,834.60 and 3,188.82

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Solution

The fourth proportional to 4,952.10, 6,834.60 and 3,188.82 is: 4,401.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.10 : 6,834.60 = 3,188.82 : x
  2. Step 2: Convert to fraction form
    4,952.10/6,834.60 = 3,188.82/x
  3. Step 3: Cross multiply
    4,952.10x = 6,834.60 × 3,188.82
  4. Step 4: Simplify right side
    4,952.10x = 21,794,309.17
  5. Step 5: Solve for x
    x = 21,794,309.17/4,952.10
  6. Step 6: Final answer
    x = 4,401.02

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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.