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Finding the Fourth Proportional to 10,400, 15,600 and 3,104

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Solution

The fourth proportional to 10,400, 15,600 and 3,104 is: 4,656

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400 : 15,600 = 3,104 : x
  2. Step 2: Convert to fraction form
    10,400/15,600 = 3,104/x
  3. Step 3: Cross multiply
    10,400x = 15,600 × 3,104
  4. Step 4: Simplify right side
    10,400x = 48,422,400
  5. Step 5: Solve for x
    x = 48,422,400/10,400
  6. Step 6: Final answer
    x = 4,656

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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.