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Finding the Fourth Proportional to 1,999.76, 2,773.81 and 1,946.30

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Solution

The fourth proportional to 1,999.76, 2,773.81 and 1,946.30 is: 2,699.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.76 : 2,773.81 = 1,946.30 : x
  2. Step 2: Convert to fraction form
    1,999.76/2,773.81 = 1,946.30/x
  3. Step 3: Cross multiply
    1,999.76x = 2,773.81 × 1,946.30
  4. Step 4: Simplify right side
    1,999.76x = 5,398,654.97
  5. Step 5: Solve for x
    x = 5,398,654.97/1,999.76
  6. Step 6: Final answer
    x = 2,699.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.