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Finding the Fourth Proportional to 12,114.66, 18,167.67 and 3,792.18

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Solution

The fourth proportional to 12,114.66, 18,167.67 and 3,792.18 is: 5,686.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.66 : 18,167.67 = 3,792.18 : x
  2. Step 2: Convert to fraction form
    12,114.66/18,167.67 = 3,792.18/x
  3. Step 3: Cross multiply
    12,114.66x = 18,167.67 × 3,792.18
  4. Step 4: Simplify right side
    12,114.66x = 68,895,074.82
  5. Step 5: Solve for x
    x = 68,895,074.82/12,114.66
  6. Step 6: Final answer
    x = 5,686.92

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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.