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Finding the Fourth Proportional to 1,946.01, 2,920.35 and 850.68

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Solution

The fourth proportional to 1,946.01, 2,920.35 and 850.68 is: 1,276.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.01 : 2,920.35 = 850.68 : x
  2. Step 2: Convert to fraction form
    1,946.01/2,920.35 = 850.68/x
  3. Step 3: Cross multiply
    1,946.01x = 2,920.35 × 850.68
  4. Step 4: Simplify right side
    1,946.01x = 2,484,283.34
  5. Step 5: Solve for x
    x = 2,484,283.34/1,946.01
  6. Step 6: Final answer
    x = 1,276.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.