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Finding the Fourth Proportional to 30,650.94, 45,976.51 and 8,463.83

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Solution

The fourth proportional to 30,650.94, 45,976.51 and 8,463.83 is: 12,695.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,650.94 : 45,976.51 = 8,463.83 : x
  2. Step 2: Convert to fraction form
    30,650.94/45,976.51 = 8,463.83/x
  3. Step 3: Cross multiply
    30,650.94x = 45,976.51 × 8,463.83
  4. Step 4: Simplify right side
    30,650.94x = 389,137,145.33
  5. Step 5: Solve for x
    x = 389,137,145.33/30,650.94
  6. Step 6: Final answer
    x = 12,695.77

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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.