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Finding the Fourth Proportional to 31,996.80, 47,930.40 and 26,164.80

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Solution

The fourth proportional to 31,996.80, 47,930.40 and 26,164.80 is: 39,194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,996.80 : 47,930.40 = 26,164.80 : x
  2. Step 2: Convert to fraction form
    31,996.80/47,930.40 = 26,164.80/x
  3. Step 3: Cross multiply
    31,996.80x = 47,930.40 × 26,164.80
  4. Step 4: Simplify right side
    31,996.80x = 1,254,089,329.92
  5. Step 5: Solve for x
    x = 1,254,089,329.92/31,996.80
  6. Step 6: Final answer
    x = 39,194.21

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1.5x scale

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.