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Finding the Fourth Proportional to 6,999.84, 9,659.78 and 3,856

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Solution

The fourth proportional to 6,999.84, 9,659.78 and 3,856 is: 5,321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.84 : 9,659.78 = 3,856 : x
  2. Step 2: Convert to fraction form
    6,999.84/9,659.78 = 3,856/x
  3. Step 3: Cross multiply
    6,999.84x = 9,659.78 × 3,856
  4. Step 4: Simplify right side
    6,999.84x = 37,248,111.68
  5. Step 5: Solve for x
    x = 37,248,111.68/6,999.84
  6. Step 6: Final answer
    x = 5,321.28

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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.