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Finding the Fourth Proportional to 2,245, 3,097.41 and 1,300.81

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Solution

The fourth proportional to 2,245, 3,097.41 and 1,300.81 is: 1,794.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245 : 3,097.41 = 1,300.81 : x
  2. Step 2: Convert to fraction form
    2,245/3,097.41 = 1,300.81/x
  3. Step 3: Cross multiply
    2,245x = 3,097.41 × 1,300.81
  4. Step 4: Simplify right side
    2,245x = 4,029,141.90
  5. Step 5: Solve for x
    x = 4,029,141.90/2,245
  6. Step 6: Final answer
    x = 1,794.72

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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.