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Finding the Fourth Proportional to 7,414.02, 11,129.70 and 5,855.06

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Solution

The fourth proportional to 7,414.02, 11,129.70 and 5,855.06 is: 8,789.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.02 : 11,129.70 = 5,855.06 : x
  2. Step 2: Convert to fraction form
    7,414.02/11,129.70 = 5,855.06/x
  3. Step 3: Cross multiply
    7,414.02x = 11,129.70 × 5,855.06
  4. Step 4: Simplify right side
    7,414.02x = 65,165,061.28
  5. Step 5: Solve for x
    x = 65,165,061.28/7,414.02
  6. Step 6: Final answer
    x = 8,789.44

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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.