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Finding the Fourth Proportional to 8,906.37, 12,282.38 and 6,642.71

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Solution

The fourth proportional to 8,906.37, 12,282.38 and 6,642.71 is: 9,160.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.37 : 12,282.38 = 6,642.71 : x
  2. Step 2: Convert to fraction form
    8,906.37/12,282.38 = 6,642.71/x
  3. Step 3: Cross multiply
    8,906.37x = 12,282.38 × 6,642.71
  4. Step 4: Simplify right side
    8,906.37x = 81,588,193.82
  5. Step 5: Solve for x
    x = 81,588,193.82/8,906.37
  6. Step 6: Final answer
    x = 9,160.66

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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.