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Finding the Fourth Proportional to 1,949.37, 2,690.02 and 1,065

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Solution

The fourth proportional to 1,949.37, 2,690.02 and 1,065 is: 1,469.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.37 : 2,690.02 = 1,065 : x
  2. Step 2: Convert to fraction form
    1,949.37/2,690.02 = 1,065/x
  3. Step 3: Cross multiply
    1,949.37x = 2,690.02 × 1,065
  4. Step 4: Simplify right side
    1,949.37x = 2,864,871.30
  5. Step 5: Solve for x
    x = 2,864,871.30/1,949.37
  6. Step 6: Final answer
    x = 1,469.64

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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.