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Finding the Fourth Proportional to 1,946.72, 2,933.08 and 1,761.86

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Solution

The fourth proportional to 1,946.72, 2,933.08 and 1,761.86 is: 2,654.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.72 : 2,933.08 = 1,761.86 : x
  2. Step 2: Convert to fraction form
    1,946.72/2,933.08 = 1,761.86/x
  3. Step 3: Cross multiply
    1,946.72x = 2,933.08 × 1,761.86
  4. Step 4: Simplify right side
    1,946.72x = 5,167,679.26
  5. Step 5: Solve for x
    x = 5,167,679.26/1,946.72
  6. Step 6: Final answer
    x = 2,654.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.