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Finding the Fourth Proportional to 5,457.68, 8,188.16 and 4,226.48

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Solution

The fourth proportional to 5,457.68, 8,188.16 and 4,226.48 is: 6,340.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.68 : 8,188.16 = 4,226.48 : x
  2. Step 2: Convert to fraction form
    5,457.68/8,188.16 = 4,226.48/x
  3. Step 3: Cross multiply
    5,457.68x = 8,188.16 × 4,226.48
  4. Step 4: Simplify right side
    5,457.68x = 34,607,094.48
  5. Step 5: Solve for x
    x = 34,607,094.48/5,457.68
  6. Step 6: Final answer
    x = 6,340.99

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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.