Home / 31,911.30-47,867-8,537.74

Finding the Fourth Proportional to 31,911.30, 47,867 and 8,537.74

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Solution

The fourth proportional to 31,911.30, 47,867 and 8,537.74 is: 12,806.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,911.30 : 47,867 = 8,537.74 : x
  2. Step 2: Convert to fraction form
    31,911.30/47,867 = 8,537.74/x
  3. Step 3: Cross multiply
    31,911.30x = 47,867 × 8,537.74
  4. Step 4: Simplify right side
    31,911.30x = 408,676,000.58
  5. Step 5: Solve for x
    x = 408,676,000.58/31,911.30
  6. Step 6: Final answer
    x = 12,806.62

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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.