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Finding the Fourth Proportional to 2,245, 3,097.63 and 1,300.74

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Solution

The fourth proportional to 2,245, 3,097.63 and 1,300.74 is: 1,794.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245 : 3,097.63 = 1,300.74 : x
  2. Step 2: Convert to fraction form
    2,245/3,097.63 = 1,300.74/x
  3. Step 3: Cross multiply
    2,245x = 3,097.63 × 1,300.74
  4. Step 4: Simplify right side
    2,245x = 4,029,211.25
  5. Step 5: Solve for x
    x = 4,029,211.25/2,245
  6. Step 6: Final answer
    x = 1,794.75

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Why These Related Problems?

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