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Finding the Fourth Proportional to 8,706.11, 13,059.20 and 2,783.26

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Solution

The fourth proportional to 8,706.11, 13,059.20 and 2,783.26 is: 4,174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,706.11 : 13,059.20 = 2,783.26 : x
  2. Step 2: Convert to fraction form
    8,706.11/13,059.20 = 2,783.26/x
  3. Step 3: Cross multiply
    8,706.11x = 13,059.20 × 2,783.26
  4. Step 4: Simplify right side
    8,706.11x = 36,347,069.78
  5. Step 5: Solve for x
    x = 36,347,069.78/8,706.11
  6. Step 6: Final answer
    x = 4,174.89

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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.