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Finding the Fourth Proportional to 6,643, 9,167.34 and 3,699

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Solution

The fourth proportional to 6,643, 9,167.34 and 3,699 is: 5,104.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643 : 9,167.34 = 3,699 : x
  2. Step 2: Convert to fraction form
    6,643/9,167.34 = 3,699/x
  3. Step 3: Cross multiply
    6,643x = 9,167.34 × 3,699
  4. Step 4: Simplify right side
    6,643x = 33,909,990.66
  5. Step 5: Solve for x
    x = 33,909,990.66/6,643
  6. Step 6: Final answer
    x = 5,104.62

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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.