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Finding the Fourth Proportional to 20,523.71, 30,777.10 and 7,193.91

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Solution

The fourth proportional to 20,523.71, 30,777.10 and 7,193.91 is: 10,787.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,523.71 : 30,777.10 = 7,193.91 : x
  2. Step 2: Convert to fraction form
    20,523.71/30,777.10 = 7,193.91/x
  3. Step 3: Cross multiply
    20,523.71x = 30,777.10 × 7,193.91
  4. Step 4: Simplify right side
    20,523.71x = 221,407,651.49
  5. Step 5: Solve for x
    x = 221,407,651.49/20,523.71
  6. Step 6: Final answer
    x = 10,787.90

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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.