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Finding the Fourth Proportional to 6,985.64, 9,640.04 and 3,799

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Solution

The fourth proportional to 6,985.64, 9,640.04 and 3,799 is: 5,242.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.64 : 9,640.04 = 3,799 : x
  2. Step 2: Convert to fraction form
    6,985.64/9,640.04 = 3,799/x
  3. Step 3: Cross multiply
    6,985.64x = 9,640.04 × 3,799
  4. Step 4: Simplify right side
    6,985.64x = 36,622,511.96
  5. Step 5: Solve for x
    x = 36,622,511.96/6,985.64
  6. Step 6: Final answer
    x = 5,242.54

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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.