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Finding the Fourth Proportional to 31,491.92, 47,205.48 and 13,970

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Solution

The fourth proportional to 31,491.92, 47,205.48 and 13,970 is: 20,940.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,491.92 : 47,205.48 = 13,970 : x
  2. Step 2: Convert to fraction form
    31,491.92/47,205.48 = 13,970/x
  3. Step 3: Cross multiply
    31,491.92x = 47,205.48 × 13,970
  4. Step 4: Simplify right side
    31,491.92x = 659,460,555.60
  5. Step 5: Solve for x
    x = 659,460,555.60/31,491.92
  6. Step 6: Final answer
    x = 20,940.63

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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.