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Finding the Fourth Proportional to 6,878.88, 10,315.44 and 2,772

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Solution

The fourth proportional to 6,878.88, 10,315.44 and 2,772 is: 4,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.88 : 10,315.44 = 2,772 : x
  2. Step 2: Convert to fraction form
    6,878.88/10,315.44 = 2,772/x
  3. Step 3: Cross multiply
    6,878.88x = 10,315.44 × 2,772
  4. Step 4: Simplify right side
    6,878.88x = 28,594,399.68
  5. Step 5: Solve for x
    x = 28,594,399.68/6,878.88
  6. Step 6: Final answer
    x = 4,156.84

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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.