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Finding the Fourth Proportional to 9,103.38, 13,666 and 6,172.80

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Solution

The fourth proportional to 9,103.38, 13,666 and 6,172.80 is: 9,266.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.38 : 13,666 = 6,172.80 : x
  2. Step 2: Convert to fraction form
    9,103.38/13,666 = 6,172.80/x
  3. Step 3: Cross multiply
    9,103.38x = 13,666 × 6,172.80
  4. Step 4: Simplify right side
    9,103.38x = 84,357,484.80
  5. Step 5: Solve for x
    x = 84,357,484.80/9,103.38
  6. Step 6: Final answer
    x = 9,266.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.