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Finding the Fourth Proportional to 2,714.28, 4,078.28 and 2,604.94

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Solution

The fourth proportional to 2,714.28, 4,078.28 and 2,604.94 is: 3,913.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.28 : 4,078.28 = 2,604.94 : x
  2. Step 2: Convert to fraction form
    2,714.28/4,078.28 = 2,604.94/x
  3. Step 3: Cross multiply
    2,714.28x = 4,078.28 × 2,604.94
  4. Step 4: Simplify right side
    2,714.28x = 10,623,674.70
  5. Step 5: Solve for x
    x = 10,623,674.70/2,714.28
  6. Step 6: Final answer
    x = 3,913.99

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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.