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Finding the Fourth Proportional to 2,090, 3,135.72 and 1,164.44

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Solution

The fourth proportional to 2,090, 3,135.72 and 1,164.44 is: 1,747.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090 : 3,135.72 = 1,164.44 : x
  2. Step 2: Convert to fraction form
    2,090/3,135.72 = 1,164.44/x
  3. Step 3: Cross multiply
    2,090x = 3,135.72 × 1,164.44
  4. Step 4: Simplify right side
    2,090x = 3,651,357.80
  5. Step 5: Solve for x
    x = 3,651,357.80/2,090
  6. Step 6: Final answer
    x = 1,747.06

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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.