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Finding the Fourth Proportional to 8,523.42, 12,775.67 and 6,436.65

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Solution

The fourth proportional to 8,523.42, 12,775.67 and 6,436.65 is: 9,647.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.42 : 12,775.67 = 6,436.65 : x
  2. Step 2: Convert to fraction form
    8,523.42/12,775.67 = 6,436.65/x
  3. Step 3: Cross multiply
    8,523.42x = 12,775.67 × 6,436.65
  4. Step 4: Simplify right side
    8,523.42x = 82,232,516.31
  5. Step 5: Solve for x
    x = 82,232,516.31/8,523.42
  6. Step 6: Final answer
    x = 9,647.83

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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.