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Finding the Fourth Proportional to 6,991.90, 9,648.25 and 4,008

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Solution

The fourth proportional to 6,991.90, 9,648.25 and 4,008 is: 5,530.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.90 : 9,648.25 = 4,008 : x
  2. Step 2: Convert to fraction form
    6,991.90/9,648.25 = 4,008/x
  3. Step 3: Cross multiply
    6,991.90x = 9,648.25 × 4,008
  4. Step 4: Simplify right side
    6,991.90x = 38,670,186
  5. Step 5: Solve for x
    x = 38,670,186/6,991.90
  6. Step 6: Final answer
    x = 5,530.71

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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.