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Finding the Fourth Proportional to 20,502.34, 30,753.51 and 11,731.05

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Solution

The fourth proportional to 20,502.34, 30,753.51 and 11,731.05 is: 17,596.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,502.34 : 30,753.51 = 11,731.05 : x
  2. Step 2: Convert to fraction form
    20,502.34/30,753.51 = 11,731.05/x
  3. Step 3: Cross multiply
    20,502.34x = 30,753.51 × 11,731.05
  4. Step 4: Simplify right side
    20,502.34x = 360,770,919.49
  5. Step 5: Solve for x
    x = 360,770,919.49/20,502.34
  6. Step 6: Final answer
    x = 17,596.58

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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.