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Finding the Fourth Proportional to 2,091, 3,136.82 and 630.12

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Solution

The fourth proportional to 2,091, 3,136.82 and 630.12 is: 945.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091 : 3,136.82 = 630.12 : x
  2. Step 2: Convert to fraction form
    2,091/3,136.82 = 630.12/x
  3. Step 3: Cross multiply
    2,091x = 3,136.82 × 630.12
  4. Step 4: Simplify right side
    2,091x = 1,976,573.02
  5. Step 5: Solve for x
    x = 1,976,573.02/2,091
  6. Step 6: Final answer
    x = 945.28

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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.