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Finding the Fourth Proportional to 22,336, 30,823.68 and 12,400

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Solution

The fourth proportional to 22,336, 30,823.68 and 12,400 is: 17,112

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,336 : 30,823.68 = 12,400 : x
  2. Step 2: Convert to fraction form
    22,336/30,823.68 = 12,400/x
  3. Step 3: Cross multiply
    22,336x = 30,823.68 × 12,400
  4. Step 4: Simplify right side
    22,336x = 382,213,632
  5. Step 5: Solve for x
    x = 382,213,632/22,336
  6. Step 6: Final answer
    x = 17,112

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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.