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Finding the Fourth Proportional to 2,091.42, 3,136.92 and 630.54

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Solution

The fourth proportional to 2,091.42, 3,136.92 and 630.54 is: 945.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.42 : 3,136.92 = 630.54 : x
  2. Step 2: Convert to fraction form
    2,091.42/3,136.92 = 630.54/x
  3. Step 3: Cross multiply
    2,091.42x = 3,136.92 × 630.54
  4. Step 4: Simplify right side
    2,091.42x = 1,977,953.54
  5. Step 5: Solve for x
    x = 1,977,953.54/2,091.42
  6. Step 6: Final answer
    x = 945.75

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1.5x scale

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.