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Finding the Fourth Proportional to 21,212.80, 31,807.07 and 8,741.43

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Solution

The fourth proportional to 21,212.80, 31,807.07 and 8,741.43 is: 13,107.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,212.80 : 31,807.07 = 8,741.43 : x
  2. Step 2: Convert to fraction form
    21,212.80/31,807.07 = 8,741.43/x
  3. Step 3: Cross multiply
    21,212.80x = 31,807.07 × 8,741.43
  4. Step 4: Simplify right side
    21,212.80x = 278,039,275.91
  5. Step 5: Solve for x
    x = 278,039,275.91/21,212.80
  6. Step 6: Final answer
    x = 13,107.15

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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.