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Finding the Fourth Proportional to 2,601.81, 3,590.50 and 1,422.88

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Solution

The fourth proportional to 2,601.81, 3,590.50 and 1,422.88 is: 1,963.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.81 : 3,590.50 = 1,422.88 : x
  2. Step 2: Convert to fraction form
    2,601.81/3,590.50 = 1,422.88/x
  3. Step 3: Cross multiply
    2,601.81x = 3,590.50 × 1,422.88
  4. Step 4: Simplify right side
    2,601.81x = 5,108,840.82
  5. Step 5: Solve for x
    x = 5,108,840.82/2,601.81
  6. Step 6: Final answer
    x = 1,963.57

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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.