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Finding the Fourth Proportional to 22,147.80, 30,564.06 and 13,199.80

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Solution

The fourth proportional to 22,147.80, 30,564.06 and 13,199.80 is: 18,215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,147.80 : 30,564.06 = 13,199.80 : x
  2. Step 2: Convert to fraction form
    22,147.80/30,564.06 = 13,199.80/x
  3. Step 3: Cross multiply
    22,147.80x = 30,564.06 × 13,199.80
  4. Step 4: Simplify right side
    22,147.80x = 403,439,479.19
  5. Step 5: Solve for x
    x = 403,439,479.19/22,147.80
  6. Step 6: Final answer
    x = 18,215.78

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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.