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Finding the Fourth Proportional to 20,998.75, 31,498.13 and 7,147.75

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Solution

The fourth proportional to 20,998.75, 31,498.13 and 7,147.75 is: 10,721.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,998.75 : 31,498.13 = 7,147.75 : x
  2. Step 2: Convert to fraction form
    20,998.75/31,498.13 = 7,147.75/x
  3. Step 3: Cross multiply
    20,998.75x = 31,498.13 × 7,147.75
  4. Step 4: Simplify right side
    20,998.75x = 225,140,758.71
  5. Step 5: Solve for x
    x = 225,140,758.71/20,998.75
  6. Step 6: Final answer
    x = 10,721.63

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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.