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Finding the Fourth Proportional to 2,485.74, 3,727.16 and 1,922.66

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Solution

The fourth proportional to 2,485.74, 3,727.16 and 1,922.66 is: 2,882.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.74 : 3,727.16 = 1,922.66 : x
  2. Step 2: Convert to fraction form
    2,485.74/3,727.16 = 1,922.66/x
  3. Step 3: Cross multiply
    2,485.74x = 3,727.16 × 1,922.66
  4. Step 4: Simplify right side
    2,485.74x = 7,166,061.45
  5. Step 5: Solve for x
    x = 7,166,061.45/2,485.74
  6. Step 6: Final answer
    x = 2,882.87

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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.