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Finding the Fourth Proportional to 8,709.84, 13,065.71 and 2,784.66

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Solution

The fourth proportional to 8,709.84, 13,065.71 and 2,784.66 is: 4,177.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.84 : 13,065.71 = 2,784.66 : x
  2. Step 2: Convert to fraction form
    8,709.84/13,065.71 = 2,784.66/x
  3. Step 3: Cross multiply
    8,709.84x = 13,065.71 × 2,784.66
  4. Step 4: Simplify right side
    8,709.84x = 36,383,546.09
  5. Step 5: Solve for x
    x = 36,383,546.09/8,709.84
  6. Step 6: Final answer
    x = 4,177.29

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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.