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Finding the Fourth Proportional to 9,998, 14,997 and 3,072.50

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Solution

The fourth proportional to 9,998, 14,997 and 3,072.50 is: 4,608.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998 : 14,997 = 3,072.50 : x
  2. Step 2: Convert to fraction form
    9,998/14,997 = 3,072.50/x
  3. Step 3: Cross multiply
    9,998x = 14,997 × 3,072.50
  4. Step 4: Simplify right side
    9,998x = 46,078,282.50
  5. Step 5: Solve for x
    x = 46,078,282.50/9,998
  6. Step 6: Final answer
    x = 4,608.75

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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.