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Finding the Fourth Proportional to 20,506.56, 30,763.80 and 8,026.08

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Solution

The fourth proportional to 20,506.56, 30,763.80 and 8,026.08 is: 12,040.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.56 : 30,763.80 = 8,026.08 : x
  2. Step 2: Convert to fraction form
    20,506.56/30,763.80 = 8,026.08/x
  3. Step 3: Cross multiply
    20,506.56x = 30,763.80 × 8,026.08
  4. Step 4: Simplify right side
    20,506.56x = 246,912,719.90
  5. Step 5: Solve for x
    x = 246,912,719.90/20,506.56
  6. Step 6: Final answer
    x = 12,040.67

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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.