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Finding the Fourth Proportional to 8,385.88, 12,582.24 and 3,703.40

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Solution

The fourth proportional to 8,385.88, 12,582.24 and 3,703.40 is: 5,556.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.88 : 12,582.24 = 3,703.40 : x
  2. Step 2: Convert to fraction form
    8,385.88/12,582.24 = 3,703.40/x
  3. Step 3: Cross multiply
    8,385.88x = 12,582.24 × 3,703.40
  4. Step 4: Simplify right side
    8,385.88x = 46,597,067.62
  5. Step 5: Solve for x
    x = 46,597,067.62/8,385.88
  6. Step 6: Final answer
    x = 5,556.61

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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.