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Finding the Fourth Proportional to 1,961.81, 2,956.80 and 1,691.16

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Solution

The fourth proportional to 1,961.81, 2,956.80 and 1,691.16 is: 2,548.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.81 : 2,956.80 = 1,691.16 : x
  2. Step 2: Convert to fraction form
    1,961.81/2,956.80 = 1,691.16/x
  3. Step 3: Cross multiply
    1,961.81x = 2,956.80 × 1,691.16
  4. Step 4: Simplify right side
    1,961.81x = 5,000,421.89
  5. Step 5: Solve for x
    x = 5,000,421.89/1,961.81
  6. Step 6: Final answer
    x = 2,548.89

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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.