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Finding the Fourth Proportional to 22,357.26, 30,853 and 12,286.35

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Solution

The fourth proportional to 22,357.26, 30,853 and 12,286.35 is: 16,955.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,357.26 : 30,853 = 12,286.35 : x
  2. Step 2: Convert to fraction form
    22,357.26/30,853 = 12,286.35/x
  3. Step 3: Cross multiply
    22,357.26x = 30,853 × 12,286.35
  4. Step 4: Simplify right side
    22,357.26x = 379,070,602.29
  5. Step 5: Solve for x
    x = 379,070,602.29/22,357.26
  6. Step 6: Final answer
    x = 16,955.15

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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.