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Finding the Fourth Proportional to 8,400, 12,600 and 2,928

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Solution

The fourth proportional to 8,400, 12,600 and 2,928 is: 4,392

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400 : 12,600 = 2,928 : x
  2. Step 2: Convert to fraction form
    8,400/12,600 = 2,928/x
  3. Step 3: Cross multiply
    8,400x = 12,600 × 2,928
  4. Step 4: Simplify right side
    8,400x = 36,892,800
  5. Step 5: Solve for x
    x = 36,892,800/8,400
  6. Step 6: Final answer
    x = 4,392

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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.