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Finding the Fourth Proportional to 10,100.82, 15,152.11 and 3,082.42

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Solution

The fourth proportional to 10,100.82, 15,152.11 and 3,082.42 is: 4,623.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100.82 : 15,152.11 = 3,082.42 : x
  2. Step 2: Convert to fraction form
    10,100.82/15,152.11 = 3,082.42/x
  3. Step 3: Cross multiply
    10,100.82x = 15,152.11 × 3,082.42
  4. Step 4: Simplify right side
    10,100.82x = 46,705,132.88
  5. Step 5: Solve for x
    x = 46,705,132.88/10,100.82
  6. Step 6: Final answer
    x = 4,623.89

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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.