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Finding the Fourth Proportional to 13,225.43, 18,251.08 and 7,257.08

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Solution

The fourth proportional to 13,225.43, 18,251.08 and 7,257.08 is: 10,014.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225.43 : 18,251.08 = 7,257.08 : x
  2. Step 2: Convert to fraction form
    13,225.43/18,251.08 = 7,257.08/x
  3. Step 3: Cross multiply
    13,225.43x = 18,251.08 × 7,257.08
  4. Step 4: Simplify right side
    13,225.43x = 132,449,600.49
  5. Step 5: Solve for x
    x = 132,449,600.49/13,225.43
  6. Step 6: Final answer
    x = 10,014.77

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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.