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Finding the Fourth Proportional to 22,284.57, 30,752.22 and 12,212.80

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Solution

The fourth proportional to 22,284.57, 30,752.22 and 12,212.80 is: 16,853.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,284.57 : 30,752.22 = 12,212.80 : x
  2. Step 2: Convert to fraction form
    22,284.57/30,752.22 = 12,212.80/x
  3. Step 3: Cross multiply
    22,284.57x = 30,752.22 × 12,212.80
  4. Step 4: Simplify right side
    22,284.57x = 375,570,712.42
  5. Step 5: Solve for x
    x = 375,570,712.42/22,284.57
  6. Step 6: Final answer
    x = 16,853.40

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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.