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Finding the Fourth Proportional to 31,720.80, 43,760.04 and 22,294.80

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Solution

The fourth proportional to 31,720.80, 43,760.04 and 22,294.80 is: 30,756.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,720.80 : 43,760.04 = 22,294.80 : x
  2. Step 2: Convert to fraction form
    31,720.80/43,760.04 = 22,294.80/x
  3. Step 3: Cross multiply
    31,720.80x = 43,760.04 × 22,294.80
  4. Step 4: Simplify right side
    31,720.80x = 975,621,339.79
  5. Step 5: Solve for x
    x = 975,621,339.79/31,720.80
  6. Step 6: Final answer
    x = 30,756.52

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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.