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Finding the Fourth Proportional to 3,310.79, 4,968.24 and 1,924.78

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Solution

The fourth proportional to 3,310.79, 4,968.24 and 1,924.78 is: 2,888.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.79 : 4,968.24 = 1,924.78 : x
  2. Step 2: Convert to fraction form
    3,310.79/4,968.24 = 1,924.78/x
  3. Step 3: Cross multiply
    3,310.79x = 4,968.24 × 1,924.78
  4. Step 4: Simplify right side
    3,310.79x = 9,562,768.99
  5. Step 5: Solve for x
    x = 9,562,768.99/3,310.79
  6. Step 6: Final answer
    x = 2,888.36

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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.