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Finding the Fourth Proportional to 22,276, 33,419.12 and 7,684

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Solution

The fourth proportional to 22,276, 33,419.12 and 7,684 is: 11,527.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,276 : 33,419.12 = 7,684 : x
  2. Step 2: Convert to fraction form
    22,276/33,419.12 = 7,684/x
  3. Step 3: Cross multiply
    22,276x = 33,419.12 × 7,684
  4. Step 4: Simplify right side
    22,276x = 256,792,518.08
  5. Step 5: Solve for x
    x = 256,792,518.08/22,276
  6. Step 6: Final answer
    x = 11,527.77

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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.