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Finding the Fourth Proportional to 6,181.50, 8,530.48 and 3,697.50

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Solution

The fourth proportional to 6,181.50, 8,530.48 and 3,697.50 is: 5,102.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.50 : 8,530.48 = 3,697.50 : x
  2. Step 2: Convert to fraction form
    6,181.50/8,530.48 = 3,697.50/x
  3. Step 3: Cross multiply
    6,181.50x = 8,530.48 × 3,697.50
  4. Step 4: Simplify right side
    6,181.50x = 31,541,449.80
  5. Step 5: Solve for x
    x = 31,541,449.80/6,181.50
  6. Step 6: Final answer
    x = 5,102.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.