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Finding the Fourth Proportional to 8,220.84, 11,346 and 5,238

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Solution

The fourth proportional to 8,220.84, 11,346 and 5,238 is: 7,229.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.84 : 11,346 = 5,238 : x
  2. Step 2: Convert to fraction form
    8,220.84/11,346 = 5,238/x
  3. Step 3: Cross multiply
    8,220.84x = 11,346 × 5,238
  4. Step 4: Simplify right side
    8,220.84x = 59,430,348
  5. Step 5: Solve for x
    x = 59,430,348/8,220.84
  6. Step 6: Final answer
    x = 7,229.23

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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.