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Finding the Fourth Proportional to 2,090.97, 3,136.86 and 630.27

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Solution

The fourth proportional to 2,090.97, 3,136.86 and 630.27 is: 945.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.97 : 3,136.86 = 630.27 : x
  2. Step 2: Convert to fraction form
    2,090.97/3,136.86 = 630.27/x
  3. Step 3: Cross multiply
    2,090.97x = 3,136.86 × 630.27
  4. Step 4: Simplify right side
    2,090.97x = 1,977,068.75
  5. Step 5: Solve for x
    x = 1,977,068.75/2,090.97
  6. Step 6: Final answer
    x = 945.53

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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.