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Finding the Fourth Proportional to 13,644.97, 18,823.93 and 8,338.80

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Solution

The fourth proportional to 13,644.97, 18,823.93 and 8,338.80 is: 11,503.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.97 : 18,823.93 = 8,338.80 : x
  2. Step 2: Convert to fraction form
    13,644.97/18,823.93 = 8,338.80/x
  3. Step 3: Cross multiply
    13,644.97x = 18,823.93 × 8,338.80
  4. Step 4: Simplify right side
    13,644.97x = 156,968,987.48
  5. Step 5: Solve for x
    x = 156,968,987.48/13,644.97
  6. Step 6: Final answer
    x = 11,503.80

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1.5x scale

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.