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Finding the Fourth Proportional to 27,828, 41,742 and 9,360

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Solution

The fourth proportional to 27,828, 41,742 and 9,360 is: 14,040

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,828 : 41,742 = 9,360 : x
  2. Step 2: Convert to fraction form
    27,828/41,742 = 9,360/x
  3. Step 3: Cross multiply
    27,828x = 41,742 × 9,360
  4. Step 4: Simplify right side
    27,828x = 390,705,120
  5. Step 5: Solve for x
    x = 390,705,120/27,828
  6. Step 6: Final answer
    x = 14,040

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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.