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Finding the Fourth Proportional to 27,690, 41,535 and 9,222

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Solution

The fourth proportional to 27,690, 41,535 and 9,222 is: 13,833

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,690 : 41,535 = 9,222 : x
  2. Step 2: Convert to fraction form
    27,690/41,535 = 9,222/x
  3. Step 3: Cross multiply
    27,690x = 41,535 × 9,222
  4. Step 4: Simplify right side
    27,690x = 383,035,770
  5. Step 5: Solve for x
    x = 383,035,770/27,690
  6. Step 6: Final answer
    x = 13,833

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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.