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Finding the Fourth Proportional to 2,090.48, 3,136.19 and 703.71

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Solution

The fourth proportional to 2,090.48, 3,136.19 and 703.71 is: 1,055.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.48 : 3,136.19 = 703.71 : x
  2. Step 2: Convert to fraction form
    2,090.48/3,136.19 = 703.71/x
  3. Step 3: Cross multiply
    2,090.48x = 3,136.19 × 703.71
  4. Step 4: Simplify right side
    2,090.48x = 2,206,979.50
  5. Step 5: Solve for x
    x = 2,206,979.50/2,090.48
  6. Step 6: Final answer
    x = 1,055.73

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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.