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Finding the Fourth Proportional to 13,674.24, 18,872.46 and 8,368.20

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Solution

The fourth proportional to 13,674.24, 18,872.46 and 8,368.20 is: 11,549.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.24 : 18,872.46 = 8,368.20 : x
  2. Step 2: Convert to fraction form
    13,674.24/18,872.46 = 8,368.20/x
  3. Step 3: Cross multiply
    13,674.24x = 18,872.46 × 8,368.20
  4. Step 4: Simplify right side
    13,674.24x = 157,928,519.77
  5. Step 5: Solve for x
    x = 157,928,519.77/13,674.24
  6. Step 6: Final answer
    x = 11,549.35

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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.