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Finding the Fourth Proportional to 2,014.91, 3,021.99 and 698.66

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Solution

The fourth proportional to 2,014.91, 3,021.99 and 698.66 is: 1,047.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.91 : 3,021.99 = 698.66 : x
  2. Step 2: Convert to fraction form
    2,014.91/3,021.99 = 698.66/x
  3. Step 3: Cross multiply
    2,014.91x = 3,021.99 × 698.66
  4. Step 4: Simplify right side
    2,014.91x = 2,111,343.53
  5. Step 5: Solve for x
    x = 2,111,343.53/2,014.91
  6. Step 6: Final answer
    x = 1,047.86

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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.