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Finding the Fourth Proportional to 5,181.99, 7,766.47 and 4,082.01

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Solution

The fourth proportional to 5,181.99, 7,766.47 and 4,082.01 is: 6,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.99 : 7,766.47 = 4,082.01 : x
  2. Step 2: Convert to fraction form
    5,181.99/7,766.47 = 4,082.01/x
  3. Step 3: Cross multiply
    5,181.99x = 7,766.47 × 4,082.01
  4. Step 4: Simplify right side
    5,181.99x = 31,702,808.20
  5. Step 5: Solve for x
    x = 31,702,808.20/5,181.99
  6. Step 6: Final answer
    x = 6,117.88

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