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Finding the Fourth Proportional to 8,653.84, 12,982.36 and 2,809.68

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Solution

The fourth proportional to 8,653.84, 12,982.36 and 2,809.68 is: 4,215.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.84 : 12,982.36 = 2,809.68 : x
  2. Step 2: Convert to fraction form
    8,653.84/12,982.36 = 2,809.68/x
  3. Step 3: Cross multiply
    8,653.84x = 12,982.36 × 2,809.68
  4. Step 4: Simplify right side
    8,653.84x = 36,476,277.24
  5. Step 5: Solve for x
    x = 36,476,277.24/8,653.84
  6. Step 6: Final answer
    x = 4,215.04

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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.