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Finding the Fourth Proportional to 8,522.42, 12,774.17 and 6,435.65

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Solution

The fourth proportional to 8,522.42, 12,774.17 and 6,435.65 is: 9,646.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.42 : 12,774.17 = 6,435.65 : x
  2. Step 2: Convert to fraction form
    8,522.42/12,774.17 = 6,435.65/x
  3. Step 3: Cross multiply
    8,522.42x = 12,774.17 × 6,435.65
  4. Step 4: Simplify right side
    8,522.42x = 82,210,135.19
  5. Step 5: Solve for x
    x = 82,210,135.19/8,522.42
  6. Step 6: Final answer
    x = 9,646.34

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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.