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Finding the Fourth Proportional to 2,450.86, 3,661.15 and 1,964.86

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Solution

The fourth proportional to 2,450.86, 3,661.15 and 1,964.86 is: 2,935.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.86 : 3,661.15 = 1,964.86 : x
  2. Step 2: Convert to fraction form
    2,450.86/3,661.15 = 1,964.86/x
  3. Step 3: Cross multiply
    2,450.86x = 3,661.15 × 1,964.86
  4. Step 4: Simplify right side
    2,450.86x = 7,193,647.19
  5. Step 5: Solve for x
    x = 7,193,647.19/2,450.86
  6. Step 6: Final answer
    x = 2,935.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.