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Finding the Fourth Proportional to 8,221.84, 11,347.38 and 5,239

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Solution

The fourth proportional to 8,221.84, 11,347.38 and 5,239 is: 7,230.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.84 : 11,347.38 = 5,239 : x
  2. Step 2: Convert to fraction form
    8,221.84/11,347.38 = 5,239/x
  3. Step 3: Cross multiply
    8,221.84x = 11,347.38 × 5,239
  4. Step 4: Simplify right side
    8,221.84x = 59,448,923.82
  5. Step 5: Solve for x
    x = 59,448,923.82/8,221.84
  6. Step 6: Final answer
    x = 7,230.61

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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.