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Finding the Fourth Proportional to 3,245.84, 4,872.08 and 2,878

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Solution

The fourth proportional to 3,245.84, 4,872.08 and 2,878 is: 4,319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.84 : 4,872.08 = 2,878 : x
  2. Step 2: Convert to fraction form
    3,245.84/4,872.08 = 2,878/x
  3. Step 3: Cross multiply
    3,245.84x = 4,872.08 × 2,878
  4. Step 4: Simplify right side
    3,245.84x = 14,021,846.24
  5. Step 5: Solve for x
    x = 14,021,846.24/3,245.84
  6. Step 6: Final answer
    x = 4,319.94

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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.