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Finding the Fourth Proportional to 31,722.80, 43,762.80 and 22,296.80

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Solution

The fourth proportional to 31,722.80, 43,762.80 and 22,296.80 is: 30,759.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,722.80 : 43,762.80 = 22,296.80 : x
  2. Step 2: Convert to fraction form
    31,722.80/43,762.80 = 22,296.80/x
  3. Step 3: Cross multiply
    31,722.80x = 43,762.80 × 22,296.80
  4. Step 4: Simplify right side
    31,722.80x = 975,770,399.04
  5. Step 5: Solve for x
    x = 975,770,399.04/31,722.80
  6. Step 6: Final answer
    x = 30,759.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.