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Finding the Fourth Proportional to 13,996, 20,994 and 4,762

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Solution

The fourth proportional to 13,996, 20,994 and 4,762 is: 7,143

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,996 : 20,994 = 4,762 : x
  2. Step 2: Convert to fraction form
    13,996/20,994 = 4,762/x
  3. Step 3: Cross multiply
    13,996x = 20,994 × 4,762
  4. Step 4: Simplify right side
    13,996x = 99,973,428
  5. Step 5: Solve for x
    x = 99,973,428/13,996
  6. Step 6: Final answer
    x = 7,143

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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.