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Finding the Fourth Proportional to 8,369.65, 12,556.01 and 6,823.20

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Solution

The fourth proportional to 8,369.65, 12,556.01 and 6,823.20 is: 10,236.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369.65 : 12,556.01 = 6,823.20 : x
  2. Step 2: Convert to fraction form
    8,369.65/12,556.01 = 6,823.20/x
  3. Step 3: Cross multiply
    8,369.65x = 12,556.01 × 6,823.20
  4. Step 4: Simplify right side
    8,369.65x = 85,672,167.43
  5. Step 5: Solve for x
    x = 85,672,167.43/8,369.65
  6. Step 6: Final answer
    x = 10,236.05

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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.