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Finding the Fourth Proportional to 2,874.16, 4,313.39 and 2,135.48

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Solution

The fourth proportional to 2,874.16, 4,313.39 and 2,135.48 is: 3,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.16 : 4,313.39 = 2,135.48 : x
  2. Step 2: Convert to fraction form
    2,874.16/4,313.39 = 2,135.48/x
  3. Step 3: Cross multiply
    2,874.16x = 4,313.39 × 2,135.48
  4. Step 4: Simplify right side
    2,874.16x = 9,211,125.83
  5. Step 5: Solve for x
    x = 9,211,125.83/2,874.16
  6. Step 6: Final answer
    x = 3,204.80

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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.