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Finding the Fourth Proportional to 2,174.85, 3,002.27 and 1,290.94

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Solution

The fourth proportional to 2,174.85, 3,002.27 and 1,290.94 is: 1,782.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.85 : 3,002.27 = 1,290.94 : x
  2. Step 2: Convert to fraction form
    2,174.85/3,002.27 = 1,290.94/x
  3. Step 3: Cross multiply
    2,174.85x = 3,002.27 × 1,290.94
  4. Step 4: Simplify right side
    2,174.85x = 3,875,736.47
  5. Step 5: Solve for x
    x = 3,875,736.47/2,174.85
  6. Step 6: Final answer
    x = 1,782.07

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