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Finding the Fourth Proportional to 5,447.25, 8,172.09 and 1,984.50

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Solution

The fourth proportional to 5,447.25, 8,172.09 and 1,984.50 is: 2,977.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447.25 : 8,172.09 = 1,984.50 : x
  2. Step 2: Convert to fraction form
    5,447.25/8,172.09 = 1,984.50/x
  3. Step 3: Cross multiply
    5,447.25x = 8,172.09 × 1,984.50
  4. Step 4: Simplify right side
    5,447.25x = 16,217,512.61
  5. Step 5: Solve for x
    x = 16,217,512.61/5,447.25
  6. Step 6: Final answer
    x = 2,977.19

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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.