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Finding the Fourth Proportional to 1,980.87, 2,734.16 and 1,184.37

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Solution

The fourth proportional to 1,980.87, 2,734.16 and 1,184.37 is: 1,634.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.87 : 2,734.16 = 1,184.37 : x
  2. Step 2: Convert to fraction form
    1,980.87/2,734.16 = 1,184.37/x
  3. Step 3: Cross multiply
    1,980.87x = 2,734.16 × 1,184.37
  4. Step 4: Simplify right side
    1,980.87x = 3,238,257.08
  5. Step 5: Solve for x
    x = 3,238,257.08/1,980.87
  6. Step 6: Final answer
    x = 1,634.77

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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.