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Finding the Fourth Proportional to 7,824, 10,797.12 and 4,512

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Solution

The fourth proportional to 7,824, 10,797.12 and 4,512 is: 6,226.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824 : 10,797.12 = 4,512 : x
  2. Step 2: Convert to fraction form
    7,824/10,797.12 = 4,512/x
  3. Step 3: Cross multiply
    7,824x = 10,797.12 × 4,512
  4. Step 4: Simplify right side
    7,824x = 48,716,605.44
  5. Step 5: Solve for x
    x = 48,716,605.44/7,824
  6. Step 6: Final answer
    x = 6,226.56

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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.