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Finding the Fourth Proportional to 1,946.82, 2,920.42 and 612.54

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Solution

The fourth proportional to 1,946.82, 2,920.42 and 612.54 is: 918.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.82 : 2,920.42 = 612.54 : x
  2. Step 2: Convert to fraction form
    1,946.82/2,920.42 = 612.54/x
  3. Step 3: Cross multiply
    1,946.82x = 2,920.42 × 612.54
  4. Step 4: Simplify right side
    1,946.82x = 1,788,874.07
  5. Step 5: Solve for x
    x = 1,788,874.07/1,946.82
  6. Step 6: Final answer
    x = 918.87

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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.