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Finding the Fourth Proportional to 20,493.78, 30,741.30 and 8,013.30

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Solution

The fourth proportional to 20,493.78, 30,741.30 and 8,013.30 is: 12,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,493.78 : 30,741.30 = 8,013.30 : x
  2. Step 2: Convert to fraction form
    20,493.78/30,741.30 = 8,013.30/x
  3. Step 3: Cross multiply
    20,493.78x = 30,741.30 × 8,013.30
  4. Step 4: Simplify right side
    20,493.78x = 246,339,259.29
  5. Step 5: Solve for x
    x = 246,339,259.29/20,493.78
  6. Step 6: Final answer
    x = 12,020.20

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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.