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Finding the Fourth Proportional to 3,430.08, 5,144.64 and 1,090.08

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Solution

The fourth proportional to 3,430.08, 5,144.64 and 1,090.08 is: 1,634.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.08 : 5,144.64 = 1,090.08 : x
  2. Step 2: Convert to fraction form
    3,430.08/5,144.64 = 1,090.08/x
  3. Step 3: Cross multiply
    3,430.08x = 5,144.64 × 1,090.08
  4. Step 4: Simplify right side
    3,430.08x = 5,608,069.17
  5. Step 5: Solve for x
    x = 5,608,069.17/3,430.08
  6. Step 6: Final answer
    x = 1,634.97

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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.