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Finding the Fourth Proportional to 1,764.43, 2,647.05 and 943.49

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Solution

The fourth proportional to 1,764.43, 2,647.05 and 943.49 is: 1,415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.43 : 2,647.05 = 943.49 : x
  2. Step 2: Convert to fraction form
    1,764.43/2,647.05 = 943.49/x
  3. Step 3: Cross multiply
    1,764.43x = 2,647.05 × 943.49
  4. Step 4: Simplify right side
    1,764.43x = 2,497,468.28
  5. Step 5: Solve for x
    x = 2,497,468.28/1,764.43
  6. Step 6: Final answer
    x = 1,415.46

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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.