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Finding the Fourth Proportional to 5,486.50, 8,228.83 and 1,975.80

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Solution

The fourth proportional to 5,486.50, 8,228.83 and 1,975.80 is: 2,963.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.50 : 8,228.83 = 1,975.80 : x
  2. Step 2: Convert to fraction form
    5,486.50/8,228.83 = 1,975.80/x
  3. Step 3: Cross multiply
    5,486.50x = 8,228.83 × 1,975.80
  4. Step 4: Simplify right side
    5,486.50x = 16,258,522.31
  5. Step 5: Solve for x
    x = 16,258,522.31/5,486.50
  6. Step 6: Final answer
    x = 2,963.37

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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.