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Finding the Fourth Proportional to 1,983.72, 2,975.64 and 1,111.80

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Solution

The fourth proportional to 1,983.72, 2,975.64 and 1,111.80 is: 1,667.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.72 : 2,975.64 = 1,111.80 : x
  2. Step 2: Convert to fraction form
    1,983.72/2,975.64 = 1,111.80/x
  3. Step 3: Cross multiply
    1,983.72x = 2,975.64 × 1,111.80
  4. Step 4: Simplify right side
    1,983.72x = 3,308,316.55
  5. Step 5: Solve for x
    x = 3,308,316.55/1,983.72
  6. Step 6: Final answer
    x = 1,667.73

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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.