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Finding the Fourth Proportional to 2,650.42, 3,974.06 and 1,007.08

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Solution

The fourth proportional to 2,650.42, 3,974.06 and 1,007.08 is: 1,510.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.42 : 3,974.06 = 1,007.08 : x
  2. Step 2: Convert to fraction form
    2,650.42/3,974.06 = 1,007.08/x
  3. Step 3: Cross multiply
    2,650.42x = 3,974.06 × 1,007.08
  4. Step 4: Simplify right side
    2,650.42x = 4,002,188.93
  5. Step 5: Solve for x
    x = 4,002,188.93/2,650.42
  6. Step 6: Final answer
    x = 1,510.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.