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Finding the Fourth Proportional to 9,997.84, 14,997 and 3,424

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Solution

The fourth proportional to 9,997.84, 14,997 and 3,424 is: 5,136.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.84 : 14,997 = 3,424 : x
  2. Step 2: Convert to fraction form
    9,997.84/14,997 = 3,424/x
  3. Step 3: Cross multiply
    9,997.84x = 14,997 × 3,424
  4. Step 4: Simplify right side
    9,997.84x = 51,349,728
  5. Step 5: Solve for x
    x = 51,349,728/9,997.84
  6. Step 6: Final answer
    x = 5,136.08

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Double scale
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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.