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Finding the Fourth Proportional to 22,936, 34,409.78 and 6,520

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Solution

The fourth proportional to 22,936, 34,409.78 and 6,520 is: 9,781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,936 : 34,409.78 = 6,520 : x
  2. Step 2: Convert to fraction form
    22,936/34,409.78 = 6,520/x
  3. Step 3: Cross multiply
    22,936x = 34,409.78 × 6,520
  4. Step 4: Simplify right side
    22,936x = 224,351,765.60
  5. Step 5: Solve for x
    x = 224,351,765.60/22,936
  6. Step 6: Final answer
    x = 9,781.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.