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Finding the Fourth Proportional to 20,555.76, 30,834.12 and 9,471.72

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Solution

The fourth proportional to 20,555.76, 30,834.12 and 9,471.72 is: 14,207.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,555.76 : 30,834.12 = 9,471.72 : x
  2. Step 2: Convert to fraction form
    20,555.76/30,834.12 = 9,471.72/x
  3. Step 3: Cross multiply
    20,555.76x = 30,834.12 × 9,471.72
  4. Step 4: Simplify right side
    20,555.76x = 292,052,151.09
  5. Step 5: Solve for x
    x = 292,052,151.09/20,555.76
  6. Step 6: Final answer
    x = 14,207.80

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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.