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Finding the Fourth Proportional to 1,896.92, 2,841.28 and 920.96

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Solution

The fourth proportional to 1,896.92, 2,841.28 and 920.96 is: 1,379.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.92 : 2,841.28 = 920.96 : x
  2. Step 2: Convert to fraction form
    1,896.92/2,841.28 = 920.96/x
  3. Step 3: Cross multiply
    1,896.92x = 2,841.28 × 920.96
  4. Step 4: Simplify right side
    1,896.92x = 2,616,705.23
  5. Step 5: Solve for x
    x = 2,616,705.23/1,896.92
  6. Step 6: Final answer
    x = 1,379.45

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1.5x scale

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.