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Finding the Fourth Proportional to 1,983.61, 2,960.87 and 1,837

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Solution

The fourth proportional to 1,983.61, 2,960.87 and 1,837 is: 2,742.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.61 : 2,960.87 = 1,837 : x
  2. Step 2: Convert to fraction form
    1,983.61/2,960.87 = 1,837/x
  3. Step 3: Cross multiply
    1,983.61x = 2,960.87 × 1,837
  4. Step 4: Simplify right side
    1,983.61x = 5,439,118.19
  5. Step 5: Solve for x
    x = 5,439,118.19/1,983.61
  6. Step 6: Final answer
    x = 2,742.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.