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Finding the Fourth Proportional to 9,411.91, 14,135.41 and 8,286.57

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Solution

The fourth proportional to 9,411.91, 14,135.41 and 8,286.57 is: 12,445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.91 : 14,135.41 = 8,286.57 : x
  2. Step 2: Convert to fraction form
    9,411.91/14,135.41 = 8,286.57/x
  3. Step 3: Cross multiply
    9,411.91x = 14,135.41 × 8,286.57
  4. Step 4: Simplify right side
    9,411.91x = 117,134,054.92
  5. Step 5: Solve for x
    x = 117,134,054.92/9,411.91
  6. Step 6: Final answer
    x = 12,445.30

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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.