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Finding the Fourth Proportional to 8,757.84, 13,128.60 and 3,209.84

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Solution

The fourth proportional to 8,757.84, 13,128.60 and 3,209.84 is: 4,811.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,757.84 : 13,128.60 = 3,209.84 : x
  2. Step 2: Convert to fraction form
    8,757.84/13,128.60 = 3,209.84/x
  3. Step 3: Cross multiply
    8,757.84x = 13,128.60 × 3,209.84
  4. Step 4: Simplify right side
    8,757.84x = 42,140,705.42
  5. Step 5: Solve for x
    x = 42,140,705.42/8,757.84
  6. Step 6: Final answer
    x = 4,811.77

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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.