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Finding the Fourth Proportional to 22,326.90, 30,811.26 and 12,255.78

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Solution

The fourth proportional to 22,326.90, 30,811.26 and 12,255.78 is: 16,913.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,326.90 : 30,811.26 = 12,255.78 : x
  2. Step 2: Convert to fraction form
    22,326.90/30,811.26 = 12,255.78/x
  3. Step 3: Cross multiply
    22,326.90x = 30,811.26 × 12,255.78
  4. Step 4: Simplify right side
    22,326.90x = 377,616,024.08
  5. Step 5: Solve for x
    x = 377,616,024.08/22,326.90
  6. Step 6: Final answer
    x = 16,913.05

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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.