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Finding the Fourth Proportional to 12,082.18, 18,124.92 and 11,353.18

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Solution

The fourth proportional to 12,082.18, 18,124.92 and 11,353.18 is: 17,031.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.18 : 18,124.92 = 11,353.18 : x
  2. Step 2: Convert to fraction form
    12,082.18/18,124.92 = 11,353.18/x
  3. Step 3: Cross multiply
    12,082.18x = 18,124.92 × 11,353.18
  4. Step 4: Simplify right side
    12,082.18x = 205,775,479.25
  5. Step 5: Solve for x
    x = 205,775,479.25/12,082.18
  6. Step 6: Final answer
    x = 17,031.32

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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.