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Finding the Fourth Proportional to 1,912.69, 2,642.05 and 1,498.24

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Solution

The fourth proportional to 1,912.69, 2,642.05 and 1,498.24 is: 2,069.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.69 : 2,642.05 = 1,498.24 : x
  2. Step 2: Convert to fraction form
    1,912.69/2,642.05 = 1,498.24/x
  3. Step 3: Cross multiply
    1,912.69x = 2,642.05 × 1,498.24
  4. Step 4: Simplify right side
    1,912.69x = 3,958,424.99
  5. Step 5: Solve for x
    x = 3,958,424.99/1,912.69
  6. Step 6: Final answer
    x = 2,069.56

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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.