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Finding the Fourth Proportional to 2,986.67, 4,449.99 and 2,819

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Solution

The fourth proportional to 2,986.67, 4,449.99 and 2,819 is: 4,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.67 : 4,449.99 = 2,819 : x
  2. Step 2: Convert to fraction form
    2,986.67/4,449.99 = 2,819/x
  3. Step 3: Cross multiply
    2,986.67x = 4,449.99 × 2,819
  4. Step 4: Simplify right side
    2,986.67x = 12,544,521.81
  5. Step 5: Solve for x
    x = 12,544,521.81/2,986.67
  6. Step 6: Final answer
    x = 4,200.17

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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.