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Finding the Fourth Proportional to 13,282.53, 18,320.41 and 8,562.25

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Solution

The fourth proportional to 13,282.53, 18,320.41 and 8,562.25 is: 11,809.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,282.53 : 18,320.41 = 8,562.25 : x
  2. Step 2: Convert to fraction form
    13,282.53/18,320.41 = 8,562.25/x
  3. Step 3: Cross multiply
    13,282.53x = 18,320.41 × 8,562.25
  4. Step 4: Simplify right side
    13,282.53x = 156,863,930.52
  5. Step 5: Solve for x
    x = 156,863,930.52/13,282.53
  6. Step 6: Final answer
    x = 11,809.79

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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.