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Finding the Fourth Proportional to 31,911.67, 47,867.51 and 8,537.50

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Solution

The fourth proportional to 31,911.67, 47,867.51 and 8,537.50 is: 12,806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,911.67 : 47,867.51 = 8,537.50 : x
  2. Step 2: Convert to fraction form
    31,911.67/47,867.51 = 8,537.50/x
  3. Step 3: Cross multiply
    31,911.67x = 47,867.51 × 8,537.50
  4. Step 4: Simplify right side
    31,911.67x = 408,668,866.63
  5. Step 5: Solve for x
    x = 408,668,866.63/31,911.67
  6. Step 6: Final answer
    x = 12,806.25

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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.