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Finding the Fourth Proportional to 31,324.50, 43,222.50 and 20,708.46

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Solution

The fourth proportional to 31,324.50, 43,222.50 and 20,708.46 is: 28,574.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,324.50 : 43,222.50 = 20,708.46 : x
  2. Step 2: Convert to fraction form
    31,324.50/43,222.50 = 20,708.46/x
  3. Step 3: Cross multiply
    31,324.50x = 43,222.50 × 20,708.46
  4. Step 4: Simplify right side
    31,324.50x = 895,071,412.35
  5. Step 5: Solve for x
    x = 895,071,412.35/31,324.50
  6. Step 6: Final answer
    x = 28,574.16

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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.