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Finding the Fourth Proportional to 9,175.86, 13,640.06 and 8,906.47

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Solution

The fourth proportional to 9,175.86, 13,640.06 and 8,906.47 is: 13,239.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.86 : 13,640.06 = 8,906.47 : x
  2. Step 2: Convert to fraction form
    9,175.86/13,640.06 = 8,906.47/x
  3. Step 3: Cross multiply
    9,175.86x = 13,640.06 × 8,906.47
  4. Step 4: Simplify right side
    9,175.86x = 121,484,773.35
  5. Step 5: Solve for x
    x = 121,484,773.35/9,175.86
  6. Step 6: Final answer
    x = 13,239.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.