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Finding the Fourth Proportional to 7,174.90, 9,897.36 and 6,667.49

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Solution

The fourth proportional to 7,174.90, 9,897.36 and 6,667.49 is: 9,197.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.90 : 9,897.36 = 6,667.49 : x
  2. Step 2: Convert to fraction form
    7,174.90/9,897.36 = 6,667.49/x
  3. Step 3: Cross multiply
    7,174.90x = 9,897.36 × 6,667.49
  4. Step 4: Simplify right side
    7,174.90x = 65,990,548.83
  5. Step 5: Solve for x
    x = 65,990,548.83/7,174.90
  6. Step 6: Final answer
    x = 9,197.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.