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Finding the Fourth Proportional to 3,670.87, 5,065.17 and 2,099.08

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Solution

The fourth proportional to 3,670.87, 5,065.17 and 2,099.08 is: 2,896.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.87 : 5,065.17 = 2,099.08 : x
  2. Step 2: Convert to fraction form
    3,670.87/5,065.17 = 2,099.08/x
  3. Step 3: Cross multiply
    3,670.87x = 5,065.17 × 2,099.08
  4. Step 4: Simplify right side
    3,670.87x = 10,632,197.04
  5. Step 5: Solve for x
    x = 10,632,197.04/3,670.87
  6. Step 6: Final answer
    x = 2,896.37

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1.5x scale

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.