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Finding the Fourth Proportional to 2,090.95, 3,136.69 and 630.25

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Solution

The fourth proportional to 2,090.95, 3,136.69 and 630.25 is: 945.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.95 : 3,136.69 = 630.25 : x
  2. Step 2: Convert to fraction form
    2,090.95/3,136.69 = 630.25/x
  3. Step 3: Cross multiply
    2,090.95x = 3,136.69 × 630.25
  4. Step 4: Simplify right side
    2,090.95x = 1,976,883.19
  5. Step 5: Solve for x
    x = 1,976,883.19/2,090.95
  6. Step 6: Final answer
    x = 945.45

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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.