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Finding the Fourth Proportional to 8,992, 13,488 and 2,836

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Solution

The fourth proportional to 8,992, 13,488 and 2,836 is: 4,254

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,992 : 13,488 = 2,836 : x
  2. Step 2: Convert to fraction form
    8,992/13,488 = 2,836/x
  3. Step 3: Cross multiply
    8,992x = 13,488 × 2,836
  4. Step 4: Simplify right side
    8,992x = 38,251,968
  5. Step 5: Solve for x
    x = 38,251,968/8,992
  6. Step 6: Final answer
    x = 4,254

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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.