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Finding the Fourth Proportional to 9,100.38, 13,651.20 and 3,094.01

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Solution

The fourth proportional to 9,100.38, 13,651.20 and 3,094.01 is: 4,641.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.38 : 13,651.20 = 3,094.01 : x
  2. Step 2: Convert to fraction form
    9,100.38/13,651.20 = 3,094.01/x
  3. Step 3: Cross multiply
    9,100.38x = 13,651.20 × 3,094.01
  4. Step 4: Simplify right side
    9,100.38x = 42,236,967.97
  5. Step 5: Solve for x
    x = 42,236,967.97/9,100.38
  6. Step 6: Final answer
    x = 4,641.23

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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.