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Finding the Fourth Proportional to 7,718.01, 11,570.08 and 2,786.49

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Solution

The fourth proportional to 7,718.01, 11,570.08 and 2,786.49 is: 4,177.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.01 : 11,570.08 = 2,786.49 : x
  2. Step 2: Convert to fraction form
    7,718.01/11,570.08 = 2,786.49/x
  3. Step 3: Cross multiply
    7,718.01x = 11,570.08 × 2,786.49
  4. Step 4: Simplify right side
    7,718.01x = 32,239,912.22
  5. Step 5: Solve for x
    x = 32,239,912.22/7,718.01
  6. Step 6: Final answer
    x = 4,177.23

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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.