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Finding the Fourth Proportional to 4,908.32, 6,774 and 2,813.12

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Solution

The fourth proportional to 4,908.32, 6,774 and 2,813.12 is: 3,882.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,908.32 : 6,774 = 2,813.12 : x
  2. Step 2: Convert to fraction form
    4,908.32/6,774 = 2,813.12/x
  3. Step 3: Cross multiply
    4,908.32x = 6,774 × 2,813.12
  4. Step 4: Simplify right side
    4,908.32x = 19,056,074.88
  5. Step 5: Solve for x
    x = 19,056,074.88/4,908.32
  6. Step 6: Final answer
    x = 3,882.40

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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.