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Finding the Fourth Proportional to 2,079.69, 2,869.95 and 1,195.51

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Solution

The fourth proportional to 2,079.69, 2,869.95 and 1,195.51 is: 1,649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.69 : 2,869.95 = 1,195.51 : x
  2. Step 2: Convert to fraction form
    2,079.69/2,869.95 = 1,195.51/x
  3. Step 3: Cross multiply
    2,079.69x = 2,869.95 × 1,195.51
  4. Step 4: Simplify right side
    2,079.69x = 3,431,049.89
  5. Step 5: Solve for x
    x = 3,431,049.89/2,079.69
  6. Step 6: Final answer
    x = 1,649.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.