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Finding the Fourth Proportional to 2,251.38, 3,376.64 and 790.40

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Solution

The fourth proportional to 2,251.38, 3,376.64 and 790.40 is: 1,185.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.38 : 3,376.64 = 790.40 : x
  2. Step 2: Convert to fraction form
    2,251.38/3,376.64 = 790.40/x
  3. Step 3: Cross multiply
    2,251.38x = 3,376.64 × 790.40
  4. Step 4: Simplify right side
    2,251.38x = 2,668,896.26
  5. Step 5: Solve for x
    x = 2,668,896.26/2,251.38
  6. Step 6: Final answer
    x = 1,185.45

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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.