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Finding the Fourth Proportional to 38,828, 58,242 and 9,644

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Solution

The fourth proportional to 38,828, 58,242 and 9,644 is: 14,466

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,828 : 58,242 = 9,644 : x
  2. Step 2: Convert to fraction form
    38,828/58,242 = 9,644/x
  3. Step 3: Cross multiply
    38,828x = 58,242 × 9,644
  4. Step 4: Simplify right side
    38,828x = 561,685,848
  5. Step 5: Solve for x
    x = 561,685,848/38,828
  6. Step 6: Final answer
    x = 14,466

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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.