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Finding the Fourth Proportional to 7,226.02, 9,970.78 and 4,082.14

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Solution

The fourth proportional to 7,226.02, 9,970.78 and 4,082.14 is: 5,632.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.02 : 9,970.78 = 4,082.14 : x
  2. Step 2: Convert to fraction form
    7,226.02/9,970.78 = 4,082.14/x
  3. Step 3: Cross multiply
    7,226.02x = 9,970.78 × 4,082.14
  4. Step 4: Simplify right side
    7,226.02x = 40,702,119.87
  5. Step 5: Solve for x
    x = 40,702,119.87/7,226.02
  6. Step 6: Final answer
    x = 5,632.72

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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.