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Finding the Fourth Proportional to 31,843.94, 47,693.07 and 15,215.65

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Solution

The fourth proportional to 31,843.94, 47,693.07 and 15,215.65 is: 22,788.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843.94 : 47,693.07 = 15,215.65 : x
  2. Step 2: Convert to fraction form
    31,843.94/47,693.07 = 15,215.65/x
  3. Step 3: Cross multiply
    31,843.94x = 47,693.07 × 15,215.65
  4. Step 4: Simplify right side
    31,843.94x = 725,680,941.31
  5. Step 5: Solve for x
    x = 725,680,941.31/31,843.94
  6. Step 6: Final answer
    x = 22,788.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.