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Finding the Fourth Proportional to 2,091.79, 3,137.67 and 630.89

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Solution

The fourth proportional to 2,091.79, 3,137.67 and 630.89 is: 946.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.79 : 3,137.67 = 630.89 : x
  2. Step 2: Convert to fraction form
    2,091.79/3,137.67 = 630.89/x
  3. Step 3: Cross multiply
    2,091.79x = 3,137.67 × 630.89
  4. Step 4: Simplify right side
    2,091.79x = 1,979,524.63
  5. Step 5: Solve for x
    x = 1,979,524.63/2,091.79
  6. Step 6: Final answer
    x = 946.33

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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.