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Finding the Fourth Proportional to 3,309.63, 4,963.87 and 937.88

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Solution

The fourth proportional to 3,309.63, 4,963.87 and 937.88 is: 1,406.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.63 : 4,963.87 = 937.88 : x
  2. Step 2: Convert to fraction form
    3,309.63/4,963.87 = 937.88/x
  3. Step 3: Cross multiply
    3,309.63x = 4,963.87 × 937.88
  4. Step 4: Simplify right side
    3,309.63x = 4,655,514.40
  5. Step 5: Solve for x
    x = 4,655,514.40/3,309.63
  6. Step 6: Final answer
    x = 1,406.66

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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.