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Finding the Fourth Proportional to 2,601.90, 3,902.22 and 958.64

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Solution

The fourth proportional to 2,601.90, 3,902.22 and 958.64 is: 1,437.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.90 : 3,902.22 = 958.64 : x
  2. Step 2: Convert to fraction form
    2,601.90/3,902.22 = 958.64/x
  3. Step 3: Cross multiply
    2,601.90x = 3,902.22 × 958.64
  4. Step 4: Simplify right side
    2,601.90x = 3,740,804.67
  5. Step 5: Solve for x
    x = 3,740,804.67/2,601.90
  6. Step 6: Final answer
    x = 1,437.72

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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.