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Finding the Fourth Proportional to 20,506.78, 30,760.18 and 6,655.78

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Solution

The fourth proportional to 20,506.78, 30,760.18 and 6,655.78 is: 9,983.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.78 : 30,760.18 = 6,655.78 : x
  2. Step 2: Convert to fraction form
    20,506.78/30,760.18 = 6,655.78/x
  3. Step 3: Cross multiply
    20,506.78x = 30,760.18 × 6,655.78
  4. Step 4: Simplify right side
    20,506.78x = 204,733,012.65
  5. Step 5: Solve for x
    x = 204,733,012.65/20,506.78
  6. Step 6: Final answer
    x = 9,983.67

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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.