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Finding the Fourth Proportional to 7,940.48, 11,904 and 4,856

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Solution

The fourth proportional to 7,940.48, 11,904 and 4,856 is: 7,279.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.48 : 11,904 = 4,856 : x
  2. Step 2: Convert to fraction form
    7,940.48/11,904 = 4,856/x
  3. Step 3: Cross multiply
    7,940.48x = 11,904 × 4,856
  4. Step 4: Simplify right side
    7,940.48x = 57,805,824
  5. Step 5: Solve for x
    x = 57,805,824/7,940.48
  6. Step 6: Final answer
    x = 7,279.89

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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.