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Finding the Fourth Proportional to 27,784, 41,676 and 7,007.50

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Solution

The fourth proportional to 27,784, 41,676 and 7,007.50 is: 10,511.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,784 : 41,676 = 7,007.50 : x
  2. Step 2: Convert to fraction form
    27,784/41,676 = 7,007.50/x
  3. Step 3: Cross multiply
    27,784x = 41,676 × 7,007.50
  4. Step 4: Simplify right side
    27,784x = 292,044,570
  5. Step 5: Solve for x
    x = 292,044,570/27,784
  6. Step 6: Final answer
    x = 10,511.25

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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.