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Finding the Fourth Proportional to 2,745, 4,107.17 and 1,924.88

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Solution

The fourth proportional to 2,745, 4,107.17 and 1,924.88 is: 2,880.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745 : 4,107.17 = 1,924.88 : x
  2. Step 2: Convert to fraction form
    2,745/4,107.17 = 1,924.88/x
  3. Step 3: Cross multiply
    2,745x = 4,107.17 × 1,924.88
  4. Step 4: Simplify right side
    2,745x = 7,905,793.67
  5. Step 5: Solve for x
    x = 7,905,793.67/2,745
  6. Step 6: Final answer
    x = 2,880.07

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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.