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Finding the Fourth Proportional to 8,821.08, 13,231.62 and 4,203

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Solution

The fourth proportional to 8,821.08, 13,231.62 and 4,203 is: 6,304.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821.08 : 13,231.62 = 4,203 : x
  2. Step 2: Convert to fraction form
    8,821.08/13,231.62 = 4,203/x
  3. Step 3: Cross multiply
    8,821.08x = 13,231.62 × 4,203
  4. Step 4: Simplify right side
    8,821.08x = 55,612,498.86
  5. Step 5: Solve for x
    x = 55,612,498.86/8,821.08
  6. Step 6: Final answer
    x = 6,304.50

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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.