Home / 31,823.50-47,736.42-9,638.68

Finding the Fourth Proportional to 31,823.50, 47,736.42 and 9,638.68

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Solution

The fourth proportional to 31,823.50, 47,736.42 and 9,638.68 is: 14,458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,823.50 : 47,736.42 = 9,638.68 : x
  2. Step 2: Convert to fraction form
    31,823.50/47,736.42 = 9,638.68/x
  3. Step 3: Cross multiply
    31,823.50x = 47,736.42 × 9,638.68
  4. Step 4: Simplify right side
    31,823.50x = 460,116,076.73
  5. Step 5: Solve for x
    x = 460,116,076.73/31,823.50
  6. Step 6: Final answer
    x = 14,458.37

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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.