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Finding the Fourth Proportional to 1,791.90, 2,473.52 and 1,605.06

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Solution

The fourth proportional to 1,791.90, 2,473.52 and 1,605.06 is: 2,215.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.90 : 2,473.52 = 1,605.06 : x
  2. Step 2: Convert to fraction form
    1,791.90/2,473.52 = 1,605.06/x
  3. Step 3: Cross multiply
    1,791.90x = 2,473.52 × 1,605.06
  4. Step 4: Simplify right side
    1,791.90x = 3,970,139.99
  5. Step 5: Solve for x
    x = 3,970,139.99/1,791.90
  6. Step 6: Final answer
    x = 2,215.60

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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.