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Finding the Fourth Proportional to 5,082.66, 7,621.14 and 1,571.67

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Solution

The fourth proportional to 5,082.66, 7,621.14 and 1,571.67 is: 2,356.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.66 : 7,621.14 = 1,571.67 : x
  2. Step 2: Convert to fraction form
    5,082.66/7,621.14 = 1,571.67/x
  3. Step 3: Cross multiply
    5,082.66x = 7,621.14 × 1,571.67
  4. Step 4: Simplify right side
    5,082.66x = 11,977,917.10
  5. Step 5: Solve for x
    x = 11,977,917.10/5,082.66
  6. Step 6: Final answer
    x = 2,356.62

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Why These Related Problems?

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