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Finding the Fourth Proportional to 3,659.90, 5,489.21 and 1,319.43

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Solution

The fourth proportional to 3,659.90, 5,489.21 and 1,319.43 is: 1,978.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.90 : 5,489.21 = 1,319.43 : x
  2. Step 2: Convert to fraction form
    3,659.90/5,489.21 = 1,319.43/x
  3. Step 3: Cross multiply
    3,659.90x = 5,489.21 × 1,319.43
  4. Step 4: Simplify right side
    3,659.90x = 7,242,631.65
  5. Step 5: Solve for x
    x = 7,242,631.65/3,659.90
  6. Step 6: Final answer
    x = 1,978.92

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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.