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Finding the Fourth Proportional to 4,912, 6,777.84 and 2,894.24

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Solution

The fourth proportional to 4,912, 6,777.84 and 2,894.24 is: 3,993.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912 : 6,777.84 = 2,894.24 : x
  2. Step 2: Convert to fraction form
    4,912/6,777.84 = 2,894.24/x
  3. Step 3: Cross multiply
    4,912x = 6,777.84 × 2,894.24
  4. Step 4: Simplify right side
    4,912x = 19,616,695.64
  5. Step 5: Solve for x
    x = 19,616,695.64/4,912
  6. Step 6: Final answer
    x = 3,993.63

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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.