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Finding the Fourth Proportional to 2,912.74, 4,366.03 and 1,986.00

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Solution

The fourth proportional to 2,912.74, 4,366.03 and 1,986.00 is: 2,976.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.74 : 4,366.03 = 1,986.00 : x
  2. Step 2: Convert to fraction form
    2,912.74/4,366.03 = 1,986.00/x
  3. Step 3: Cross multiply
    2,912.74x = 4,366.03 × 1,986.00
  4. Step 4: Simplify right side
    2,912.74x = 8,670,903.82
  5. Step 5: Solve for x
    x = 8,670,903.82/2,912.74
  6. Step 6: Final answer
    x = 2,976.89

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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.