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Finding the Fourth Proportional to 20,129.71, 30,186.11 and 7,642.85

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Solution

The fourth proportional to 20,129.71, 30,186.11 and 7,642.85 is: 11,461.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,129.71 : 30,186.11 = 7,642.85 : x
  2. Step 2: Convert to fraction form
    20,129.71/30,186.11 = 7,642.85/x
  3. Step 3: Cross multiply
    20,129.71x = 30,186.11 × 7,642.85
  4. Step 4: Simplify right side
    20,129.71x = 230,707,910.81
  5. Step 5: Solve for x
    x = 230,707,910.81/20,129.71
  6. Step 6: Final answer
    x = 11,461.06

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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.