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Finding the Fourth Proportional to 8,457.84, 12,687.84 and 3,263.04

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Solution

The fourth proportional to 8,457.84, 12,687.84 and 3,263.04 is: 4,894.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.84 : 12,687.84 = 3,263.04 : x
  2. Step 2: Convert to fraction form
    8,457.84/12,687.84 = 3,263.04/x
  3. Step 3: Cross multiply
    8,457.84x = 12,687.84 × 3,263.04
  4. Step 4: Simplify right side
    8,457.84x = 41,400,929.43
  5. Step 5: Solve for x
    x = 41,400,929.43/8,457.84
  6. Step 6: Final answer
    x = 4,894.98

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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.