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Finding the Fourth Proportional to 13,752.26, 18,982.43 and 8,784.26

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Solution

The fourth proportional to 13,752.26, 18,982.43 and 8,784.26 is: 12,125.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752.26 : 18,982.43 = 8,784.26 : x
  2. Step 2: Convert to fraction form
    13,752.26/18,982.43 = 8,784.26/x
  3. Step 3: Cross multiply
    13,752.26x = 18,982.43 × 8,784.26
  4. Step 4: Simplify right side
    13,752.26x = 166,746,600.55
  5. Step 5: Solve for x
    x = 166,746,600.55/13,752.26
  6. Step 6: Final answer
    x = 12,125.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.