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Finding the Fourth Proportional to 9,212.74, 12,695.54 and 8,589.44

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Solution

The fourth proportional to 9,212.74, 12,695.54 and 8,589.44 is: 11,836.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.74 : 12,695.54 = 8,589.44 : x
  2. Step 2: Convert to fraction form
    9,212.74/12,695.54 = 8,589.44/x
  3. Step 3: Cross multiply
    9,212.74x = 12,695.54 × 8,589.44
  4. Step 4: Simplify right side
    9,212.74x = 109,047,567.89
  5. Step 5: Solve for x
    x = 109,047,567.89/9,212.74
  6. Step 6: Final answer
    x = 11,836.61

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.