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Finding the Fourth Proportional to 2,995.50, 4,493.97 and 943.50

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Solution

The fourth proportional to 2,995.50, 4,493.97 and 943.50 is: 1,415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995.50 : 4,493.97 = 943.50 : x
  2. Step 2: Convert to fraction form
    2,995.50/4,493.97 = 943.50/x
  3. Step 3: Cross multiply
    2,995.50x = 4,493.97 × 943.50
  4. Step 4: Simplify right side
    2,995.50x = 4,240,060.70
  5. Step 5: Solve for x
    x = 4,240,060.70/2,995.50
  6. Step 6: Final answer
    x = 1,415.48

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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.