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Finding the Fourth Proportional to 3,627.90, 5,445.90 and 1,984.50

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Solution

The fourth proportional to 3,627.90, 5,445.90 and 1,984.50 is: 2,978.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.90 : 5,445.90 = 1,984.50 : x
  2. Step 2: Convert to fraction form
    3,627.90/5,445.90 = 1,984.50/x
  3. Step 3: Cross multiply
    3,627.90x = 5,445.90 × 1,984.50
  4. Step 4: Simplify right side
    3,627.90x = 10,807,388.55
  5. Step 5: Solve for x
    x = 10,807,388.55/3,627.90
  6. Step 6: Final answer
    x = 2,978.97

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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.