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Finding the Fourth Proportional to 22,164.61, 30,571.50 and 13,205.20

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Solution

The fourth proportional to 22,164.61, 30,571.50 and 13,205.20 is: 18,213.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,164.61 : 30,571.50 = 13,205.20 : x
  2. Step 2: Convert to fraction form
    22,164.61/30,571.50 = 13,205.20/x
  3. Step 3: Cross multiply
    22,164.61x = 30,571.50 × 13,205.20
  4. Step 4: Simplify right side
    22,164.61x = 403,702,618.94
  5. Step 5: Solve for x
    x = 403,702,618.94/22,164.61
  6. Step 6: Final answer
    x = 18,213.84

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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.