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Finding the Fourth Proportional to 39,222, 58,833 and 11,520

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Solution

The fourth proportional to 39,222, 58,833 and 11,520 is: 17,280

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,222 : 58,833 = 11,520 : x
  2. Step 2: Convert to fraction form
    39,222/58,833 = 11,520/x
  3. Step 3: Cross multiply
    39,222x = 58,833 × 11,520
  4. Step 4: Simplify right side
    39,222x = 677,756,160
  5. Step 5: Solve for x
    x = 677,756,160/39,222
  6. Step 6: Final answer
    x = 17,280

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.