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Finding the Fourth Proportional to 20,551.89, 30,834.72 and 6,514.20

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Solution

The fourth proportional to 20,551.89, 30,834.72 and 6,514.20 is: 9,773.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,551.89 : 30,834.72 = 6,514.20 : x
  2. Step 2: Convert to fraction form
    20,551.89/30,834.72 = 6,514.20/x
  3. Step 3: Cross multiply
    20,551.89x = 30,834.72 × 6,514.20
  4. Step 4: Simplify right side
    20,551.89x = 200,863,533.02
  5. Step 5: Solve for x
    x = 200,863,533.02/20,551.89
  6. Step 6: Final answer
    x = 9,773.48

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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.