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Finding the Fourth Proportional to 2,090.09, 3,135.25 and 703.47

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Solution

The fourth proportional to 2,090.09, 3,135.25 and 703.47 is: 1,055.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.09 : 3,135.25 = 703.47 : x
  2. Step 2: Convert to fraction form
    2,090.09/3,135.25 = 703.47/x
  3. Step 3: Cross multiply
    2,090.09x = 3,135.25 × 703.47
  4. Step 4: Simplify right side
    2,090.09x = 2,205,566.95
  5. Step 5: Solve for x
    x = 2,205,566.95/2,090.09
  6. Step 6: Final answer
    x = 1,055.25

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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.