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Finding the Fourth Proportional to 8,320, 12,481.62 and 3,703

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Solution

The fourth proportional to 8,320, 12,481.62 and 3,703 is: 5,555.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,320 : 12,481.62 = 3,703 : x
  2. Step 2: Convert to fraction form
    8,320/12,481.62 = 3,703/x
  3. Step 3: Cross multiply
    8,320x = 12,481.62 × 3,703
  4. Step 4: Simplify right side
    8,320x = 46,219,438.86
  5. Step 5: Solve for x
    x = 46,219,438.86/8,320
  6. Step 6: Final answer
    x = 5,555.22

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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.