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Finding the Fourth Proportional to 2,251, 3,376.98 and 790.12

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Solution

The fourth proportional to 2,251, 3,376.98 and 790.12 is: 1,185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251 : 3,376.98 = 790.12 : x
  2. Step 2: Convert to fraction form
    2,251/3,376.98 = 790.12/x
  3. Step 3: Cross multiply
    2,251x = 3,376.98 × 790.12
  4. Step 4: Simplify right side
    2,251x = 2,668,219.44
  5. Step 5: Solve for x
    x = 2,668,219.44/2,251
  6. Step 6: Final answer
    x = 1,185.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.