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Finding the Fourth Proportional to 20,538.70, 30,807.95 and 8,049.90

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Solution

The fourth proportional to 20,538.70, 30,807.95 and 8,049.90 is: 12,074.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,538.70 : 30,807.95 = 8,049.90 : x
  2. Step 2: Convert to fraction form
    20,538.70/30,807.95 = 8,049.90/x
  3. Step 3: Cross multiply
    20,538.70x = 30,807.95 × 8,049.90
  4. Step 4: Simplify right side
    20,538.70x = 248,000,916.71
  5. Step 5: Solve for x
    x = 248,000,916.71/20,538.70
  6. Step 6: Final answer
    x = 12,074.81

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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.