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Finding the Fourth Proportional to 9,995.84, 14,994 and 3,422

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Solution

The fourth proportional to 9,995.84, 14,994 and 3,422 is: 5,133.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,995.84 : 14,994 = 3,422 : x
  2. Step 2: Convert to fraction form
    9,995.84/14,994 = 3,422/x
  3. Step 3: Cross multiply
    9,995.84x = 14,994 × 3,422
  4. Step 4: Simplify right side
    9,995.84x = 51,309,468
  5. Step 5: Solve for x
    x = 51,309,468/9,995.84
  6. Step 6: Final answer
    x = 5,133.08

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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.