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Finding the Fourth Proportional to 2,250.98, 3,376.50 and 790.14

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Solution

The fourth proportional to 2,250.98, 3,376.50 and 790.14 is: 1,185.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250.98 : 3,376.50 = 790.14 : x
  2. Step 2: Convert to fraction form
    2,250.98/3,376.50 = 790.14/x
  3. Step 3: Cross multiply
    2,250.98x = 3,376.50 × 790.14
  4. Step 4: Simplify right side
    2,250.98x = 2,667,907.71
  5. Step 5: Solve for x
    x = 2,667,907.71/2,250.98
  6. Step 6: Final answer
    x = 1,185.22

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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.