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Finding the Fourth Proportional to 6,681.89, 9,221.21 and 3,698.00

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Solution

The fourth proportional to 6,681.89, 9,221.21 and 3,698.00 is: 5,103.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.89 : 9,221.21 = 3,698.00 : x
  2. Step 2: Convert to fraction form
    6,681.89/9,221.21 = 3,698.00/x
  3. Step 3: Cross multiply
    6,681.89x = 9,221.21 × 3,698.00
  4. Step 4: Simplify right side
    6,681.89x = 34,100,039.14
  5. Step 5: Solve for x
    x = 34,100,039.14/6,681.89
  6. Step 6: Final answer
    x = 5,103.35

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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.