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Finding the Fourth Proportional to 5,480.94, 8,222.64 and 1,585.65

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Solution

The fourth proportional to 5,480.94, 8,222.64 and 1,585.65 is: 2,378.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480.94 : 8,222.64 = 1,585.65 : x
  2. Step 2: Convert to fraction form
    5,480.94/8,222.64 = 1,585.65/x
  3. Step 3: Cross multiply
    5,480.94x = 8,222.64 × 1,585.65
  4. Step 4: Simplify right side
    5,480.94x = 13,038,229.12
  5. Step 5: Solve for x
    x = 13,038,229.12/5,480.94
  6. Step 6: Final answer
    x = 2,378.83

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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.