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Finding the Fourth Proportional to 9,998, 14,997.74 and 3,842

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Solution

The fourth proportional to 9,998, 14,997.74 and 3,842 is: 5,763.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998 : 14,997.74 = 3,842 : x
  2. Step 2: Convert to fraction form
    9,998/14,997.74 = 3,842/x
  3. Step 3: Cross multiply
    9,998x = 14,997.74 × 3,842
  4. Step 4: Simplify right side
    9,998x = 57,621,317.08
  5. Step 5: Solve for x
    x = 57,621,317.08/9,998
  6. Step 6: Final answer
    x = 5,763.28

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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.