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Finding the Fourth Proportional to 4,000, 6,000 and 1,568

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Solution

The fourth proportional to 4,000, 6,000 and 1,568 is: 2,352

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000 : 6,000 = 1,568 : x
  2. Step 2: Convert to fraction form
    4,000/6,000 = 1,568/x
  3. Step 3: Cross multiply
    4,000x = 6,000 × 1,568
  4. Step 4: Simplify right side
    4,000x = 9,408,000
  5. Step 5: Solve for x
    x = 9,408,000/4,000
  6. Step 6: Final answer
    x = 2,352

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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.