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Finding the Fourth Proportional to 2,812.88, 4,219.84 and 864.96

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Solution

The fourth proportional to 2,812.88, 4,219.84 and 864.96 is: 1,297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.88 : 4,219.84 = 864.96 : x
  2. Step 2: Convert to fraction form
    2,812.88/4,219.84 = 864.96/x
  3. Step 3: Cross multiply
    2,812.88x = 4,219.84 × 864.96
  4. Step 4: Simplify right side
    2,812.88x = 3,649,992.81
  5. Step 5: Solve for x
    x = 3,649,992.81/2,812.88
  6. Step 6: Final answer
    x = 1,297.60

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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.