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Finding the Fourth Proportional to 20,561.42, 30,832.50 and 7,412.06

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Solution

The fourth proportional to 20,561.42, 30,832.50 and 7,412.06 is: 11,114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,561.42 : 30,832.50 = 7,412.06 : x
  2. Step 2: Convert to fraction form
    20,561.42/30,832.50 = 7,412.06/x
  3. Step 3: Cross multiply
    20,561.42x = 30,832.50 × 7,412.06
  4. Step 4: Simplify right side
    20,561.42x = 228,532,339.95
  5. Step 5: Solve for x
    x = 228,532,339.95/20,561.42
  6. Step 6: Final answer
    x = 11,114.62

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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.