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Finding the Fourth Proportional to 1,983.98, 2,975.97 and 1,252.55

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Solution

The fourth proportional to 1,983.98, 2,975.97 and 1,252.55 is: 1,878.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.98 : 2,975.97 = 1,252.55 : x
  2. Step 2: Convert to fraction form
    1,983.98/2,975.97 = 1,252.55/x
  3. Step 3: Cross multiply
    1,983.98x = 2,975.97 × 1,252.55
  4. Step 4: Simplify right side
    1,983.98x = 3,727,536.34
  5. Step 5: Solve for x
    x = 3,727,536.34/1,983.98
  6. Step 6: Final answer
    x = 1,878.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.