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Finding the Fourth Proportional to 8,427.24, 12,584.97 and 8,335.71

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Solution

The fourth proportional to 8,427.24, 12,584.97 and 8,335.71 is: 12,448.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.24 : 12,584.97 = 8,335.71 : x
  2. Step 2: Convert to fraction form
    8,427.24/12,584.97 = 8,335.71/x
  3. Step 3: Cross multiply
    8,427.24x = 12,584.97 × 8,335.71
  4. Step 4: Simplify right side
    8,427.24x = 104,904,660.28
  5. Step 5: Solve for x
    x = 104,904,660.28/8,427.24
  6. Step 6: Final answer
    x = 12,448.28

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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 (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.