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Finding the Fourth Proportional to 5,178.96, 7,146.94 and 2,821.12

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Solution

The fourth proportional to 5,178.96, 7,146.94 and 2,821.12 is: 3,893.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.96 : 7,146.94 = 2,821.12 : x
  2. Step 2: Convert to fraction form
    5,178.96/7,146.94 = 2,821.12/x
  3. Step 3: Cross multiply
    5,178.96x = 7,146.94 × 2,821.12
  4. Step 4: Simplify right side
    5,178.96x = 20,162,375.37
  5. Step 5: Solve for x
    x = 20,162,375.37/5,178.96
  6. Step 6: Final answer
    x = 3,893.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.