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Finding the Fourth Proportional to 5,457.44, 8,187.60 and 2,684

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Solution

The fourth proportional to 5,457.44, 8,187.60 and 2,684 is: 4,026.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.44 : 8,187.60 = 2,684 : x
  2. Step 2: Convert to fraction form
    5,457.44/8,187.60 = 2,684/x
  3. Step 3: Cross multiply
    5,457.44x = 8,187.60 × 2,684
  4. Step 4: Simplify right side
    5,457.44x = 21,975,518.40
  5. Step 5: Solve for x
    x = 21,975,518.40/5,457.44
  6. Step 6: Final answer
    x = 4,026.71

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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.