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Finding the Fourth Proportional to 1,976.82, 2,965.68 and 678.21

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Solution

The fourth proportional to 1,976.82, 2,965.68 and 678.21 is: 1,017.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.82 : 2,965.68 = 678.21 : x
  2. Step 2: Convert to fraction form
    1,976.82/2,965.68 = 678.21/x
  3. Step 3: Cross multiply
    1,976.82x = 2,965.68 × 678.21
  4. Step 4: Simplify right side
    1,976.82x = 2,011,353.83
  5. Step 5: Solve for x
    x = 2,011,353.83/1,976.82
  6. Step 6: Final answer
    x = 1,017.47

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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.