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Finding the Fourth Proportional to 23,074.91, 31,843.80 and 13,521.67

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Solution

The fourth proportional to 23,074.91, 31,843.80 and 13,521.67 is: 18,660.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,074.91 : 31,843.80 = 13,521.67 : x
  2. Step 2: Convert to fraction form
    23,074.91/31,843.80 = 13,521.67/x
  3. Step 3: Cross multiply
    23,074.91x = 31,843.80 × 13,521.67
  4. Step 4: Simplify right side
    23,074.91x = 430,581,355.15
  5. Step 5: Solve for x
    x = 430,581,355.15/23,074.91
  6. Step 6: Final answer
    x = 18,660.15

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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.