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Finding the Fourth Proportional to 5,478.80, 8,216.16 and 1,967.80

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Solution

The fourth proportional to 5,478.80, 8,216.16 and 1,967.80 is: 2,950.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.80 : 8,216.16 = 1,967.80 : x
  2. Step 2: Convert to fraction form
    5,478.80/8,216.16 = 1,967.80/x
  3. Step 3: Cross multiply
    5,478.80x = 8,216.16 × 1,967.80
  4. Step 4: Simplify right side
    5,478.80x = 16,167,759.65
  5. Step 5: Solve for x
    x = 16,167,759.65/5,478.80
  6. Step 6: Final answer
    x = 2,950.97

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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.