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Finding the Fourth Proportional to 1,918.80, 2,647.80 and 1,219.50

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Solution

The fourth proportional to 1,918.80, 2,647.80 and 1,219.50 is: 1,682.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.80 : 2,647.80 = 1,219.50 : x
  2. Step 2: Convert to fraction form
    1,918.80/2,647.80 = 1,219.50/x
  3. Step 3: Cross multiply
    1,918.80x = 2,647.80 × 1,219.50
  4. Step 4: Simplify right side
    1,918.80x = 3,228,992.10
  5. Step 5: Solve for x
    x = 3,228,992.10/1,918.80
  6. Step 6: Final answer
    x = 1,682.82

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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.