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Finding the Fourth Proportional to 20,723.90, 31,089.90 and 8,241.80

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Solution

The fourth proportional to 20,723.90, 31,089.90 and 8,241.80 is: 12,364.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,723.90 : 31,089.90 = 8,241.80 : x
  2. Step 2: Convert to fraction form
    20,723.90/31,089.90 = 8,241.80/x
  3. Step 3: Cross multiply
    20,723.90x = 31,089.90 × 8,241.80
  4. Step 4: Simplify right side
    20,723.90x = 256,236,737.82
  5. Step 5: Solve for x
    x = 256,236,737.82/20,723.90
  6. Step 6: Final answer
    x = 12,364.31

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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.