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Finding the Fourth Proportional to 1,989.97, 2,744.47 and 1,962.63

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Solution

The fourth proportional to 1,989.97, 2,744.47 and 1,962.63 is: 2,706.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.97 : 2,744.47 = 1,962.63 : x
  2. Step 2: Convert to fraction form
    1,989.97/2,744.47 = 1,962.63/x
  3. Step 3: Cross multiply
    1,989.97x = 2,744.47 × 1,962.63
  4. Step 4: Simplify right side
    1,989.97x = 5,386,379.16
  5. Step 5: Solve for x
    x = 5,386,379.16/1,989.97
  6. Step 6: Final answer
    x = 2,706.76

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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.