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Finding the Fourth Proportional to 5,480.54, 8,219.61 and 1,584.10

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Solution

The fourth proportional to 5,480.54, 8,219.61 and 1,584.10 is: 2,375.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480.54 : 8,219.61 = 1,584.10 : x
  2. Step 2: Convert to fraction form
    5,480.54/8,219.61 = 1,584.10/x
  3. Step 3: Cross multiply
    5,480.54x = 8,219.61 × 1,584.10
  4. Step 4: Simplify right side
    5,480.54x = 13,020,684.20
  5. Step 5: Solve for x
    x = 13,020,684.20/5,480.54
  6. Step 6: Final answer
    x = 2,375.80

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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.