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Finding the Fourth Proportional to 5,616.16, 8,419.64 and 4,226.80

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Solution

The fourth proportional to 5,616.16, 8,419.64 and 4,226.80 is: 6,336.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.16 : 8,419.64 = 4,226.80 : x
  2. Step 2: Convert to fraction form
    5,616.16/8,419.64 = 4,226.80/x
  3. Step 3: Cross multiply
    5,616.16x = 8,419.64 × 4,226.80
  4. Step 4: Simplify right side
    5,616.16x = 35,588,134.35
  5. Step 5: Solve for x
    x = 35,588,134.35/5,616.16
  6. Step 6: Final answer
    x = 6,336.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.