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Finding the Fourth Proportional to 22,336.64, 30,824 and 12,400

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Solution

The fourth proportional to 22,336.64, 30,824 and 12,400 is: 17,111.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,336.64 : 30,824 = 12,400 : x
  2. Step 2: Convert to fraction form
    22,336.64/30,824 = 12,400/x
  3. Step 3: Cross multiply
    22,336.64x = 30,824 × 12,400
  4. Step 4: Simplify right side
    22,336.64x = 382,217,600
  5. Step 5: Solve for x
    x = 382,217,600/22,336.64
  6. Step 6: Final answer
    x = 17,111.69

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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.