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Finding the Fourth Proportional to 2,986, 4,450.07 and 2,830.48

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Solution

The fourth proportional to 2,986, 4,450.07 and 2,830.48 is: 4,218.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986 : 4,450.07 = 2,830.48 : x
  2. Step 2: Convert to fraction form
    2,986/4,450.07 = 2,830.48/x
  3. Step 3: Cross multiply
    2,986x = 4,450.07 × 2,830.48
  4. Step 4: Simplify right side
    2,986x = 12,595,834.13
  5. Step 5: Solve for x
    x = 12,595,834.13/2,986
  6. Step 6: Final answer
    x = 4,218.30

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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.