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Finding the Fourth Proportional to 20,147.91, 30,211.47 and 9,045.09

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Solution

The fourth proportional to 20,147.91, 30,211.47 and 9,045.09 is: 13,562.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.91 : 30,211.47 = 9,045.09 : x
  2. Step 2: Convert to fraction form
    20,147.91/30,211.47 = 9,045.09/x
  3. Step 3: Cross multiply
    20,147.91x = 30,211.47 × 9,045.09
  4. Step 4: Simplify right side
    20,147.91x = 273,265,465.18
  5. Step 5: Solve for x
    x = 273,265,465.18/20,147.91
  6. Step 6: Final answer
    x = 13,562.97

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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.