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Finding the Fourth Proportional to 2,251, 3,106.74 and 1,319.50

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Solution

The fourth proportional to 2,251, 3,106.74 and 1,319.50 is: 1,821.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251 : 3,106.74 = 1,319.50 : x
  2. Step 2: Convert to fraction form
    2,251/3,106.74 = 1,319.50/x
  3. Step 3: Cross multiply
    2,251x = 3,106.74 × 1,319.50
  4. Step 4: Simplify right side
    2,251x = 4,099,343.43
  5. Step 5: Solve for x
    x = 4,099,343.43/2,251
  6. Step 6: Final answer
    x = 1,821.12

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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.