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Finding the Fourth Proportional to 8,435.39, 12,653.10 and 2,194.88

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Solution

The fourth proportional to 8,435.39, 12,653.10 and 2,194.88 is: 3,292.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.39 : 12,653.10 = 2,194.88 : x
  2. Step 2: Convert to fraction form
    8,435.39/12,653.10 = 2,194.88/x
  3. Step 3: Cross multiply
    8,435.39x = 12,653.10 × 2,194.88
  4. Step 4: Simplify right side
    8,435.39x = 27,771,972.86
  5. Step 5: Solve for x
    x = 27,771,972.86/8,435.39
  6. Step 6: Final answer
    x = 3,292.32

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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.