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Finding the Fourth Proportional to 3,430.63, 5,144.02 and 1,090.20

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Solution

The fourth proportional to 3,430.63, 5,144.02 and 1,090.20 is: 1,634.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.63 : 5,144.02 = 1,090.20 : x
  2. Step 2: Convert to fraction form
    3,430.63/5,144.02 = 1,090.20/x
  3. Step 3: Cross multiply
    3,430.63x = 5,144.02 × 1,090.20
  4. Step 4: Simplify right side
    3,430.63x = 5,608,010.60
  5. Step 5: Solve for x
    x = 5,608,010.60/3,430.63
  6. Step 6: Final answer
    x = 1,634.69

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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.