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Finding the Fourth Proportional to 3,581.90, 5,372.45 and 984.50

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Solution

The fourth proportional to 3,581.90, 5,372.45 and 984.50 is: 1,476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.90 : 5,372.45 = 984.50 : x
  2. Step 2: Convert to fraction form
    3,581.90/5,372.45 = 984.50/x
  3. Step 3: Cross multiply
    3,581.90x = 5,372.45 × 984.50
  4. Step 4: Simplify right side
    3,581.90x = 5,289,172.10
  5. Step 5: Solve for x
    x = 5,289,172.10/3,581.90
  6. Step 6: Final answer
    x = 1,476.64

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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.