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Finding the Fourth Proportional to 20,389, 30,587.90 and 6,348.74

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Solution

The fourth proportional to 20,389, 30,587.90 and 6,348.74 is: 9,524.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,389 : 30,587.90 = 6,348.74 : x
  2. Step 2: Convert to fraction form
    20,389/30,587.90 = 6,348.74/x
  3. Step 3: Cross multiply
    20,389x = 30,587.90 × 6,348.74
  4. Step 4: Simplify right side
    20,389x = 194,194,624.25
  5. Step 5: Solve for x
    x = 194,194,624.25/20,389
  6. Step 6: Final answer
    x = 9,524.48

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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.