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Finding the Fourth Proportional to 2,601.77, 3,590.48 and 1,422.84

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Solution

The fourth proportional to 2,601.77, 3,590.48 and 1,422.84 is: 1,963.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.77 : 3,590.48 = 1,422.84 : x
  2. Step 2: Convert to fraction form
    2,601.77/3,590.48 = 1,422.84/x
  3. Step 3: Cross multiply
    2,601.77x = 3,590.48 × 1,422.84
  4. Step 4: Simplify right side
    2,601.77x = 5,108,678.56
  5. Step 5: Solve for x
    x = 5,108,678.56/2,601.77
  6. Step 6: Final answer
    x = 1,963.54

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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.