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Finding the Fourth Proportional to 5,619.20, 8,412.16 and 4,164.88

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Solution

The fourth proportional to 5,619.20, 8,412.16 and 4,164.88 is: 6,234.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,619.20 : 8,412.16 = 4,164.88 : x
  2. Step 2: Convert to fraction form
    5,619.20/8,412.16 = 4,164.88/x
  3. Step 3: Cross multiply
    5,619.20x = 8,412.16 × 4,164.88
  4. Step 4: Simplify right side
    5,619.20x = 35,035,636.94
  5. Step 5: Solve for x
    x = 35,035,636.94/5,619.20
  6. Step 6: Final answer
    x = 6,234.99

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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.