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Finding the Fourth Proportional to 7,927, 10,939.82 and 4,783

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Solution

The fourth proportional to 7,927, 10,939.82 and 4,783 is: 6,600.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927 : 10,939.82 = 4,783 : x
  2. Step 2: Convert to fraction form
    7,927/10,939.82 = 4,783/x
  3. Step 3: Cross multiply
    7,927x = 10,939.82 × 4,783
  4. Step 4: Simplify right side
    7,927x = 52,325,159.06
  5. Step 5: Solve for x
    x = 52,325,159.06/7,927
  6. Step 6: Final answer
    x = 6,600.88

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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.