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Finding the Fourth Proportional to 1,989.49, 2,745.07 and 1,351.65

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Solution

The fourth proportional to 1,989.49, 2,745.07 and 1,351.65 is: 1,864.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.49 : 2,745.07 = 1,351.65 : x
  2. Step 2: Convert to fraction form
    1,989.49/2,745.07 = 1,351.65/x
  3. Step 3: Cross multiply
    1,989.49x = 2,745.07 × 1,351.65
  4. Step 4: Simplify right side
    1,989.49x = 3,710,373.87
  5. Step 5: Solve for x
    x = 3,710,373.87/1,989.49
  6. Step 6: Final answer
    x = 1,864.99

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Why These Related Problems?

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