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Finding the Fourth Proportional to 22,164.48, 30,588.48 and 12,736.80

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Solution

The fourth proportional to 22,164.48, 30,588.48 and 12,736.80 is: 17,577.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,164.48 : 30,588.48 = 12,736.80 : x
  2. Step 2: Convert to fraction form
    22,164.48/30,588.48 = 12,736.80/x
  3. Step 3: Cross multiply
    22,164.48x = 30,588.48 × 12,736.80
  4. Step 4: Simplify right side
    22,164.48x = 389,599,352.06
  5. Step 5: Solve for x
    x = 389,599,352.06/22,164.48
  6. Step 6: Final answer
    x = 17,577.64

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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.