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Finding the Fourth Proportional to 14,618, 20,172.84 and 7,994

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Solution

The fourth proportional to 14,618, 20,172.84 and 7,994 is: 11,031.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,618 : 20,172.84 = 7,994 : x
  2. Step 2: Convert to fraction form
    14,618/20,172.84 = 7,994/x
  3. Step 3: Cross multiply
    14,618x = 20,172.84 × 7,994
  4. Step 4: Simplify right side
    14,618x = 161,261,682.96
  5. Step 5: Solve for x
    x = 161,261,682.96/14,618
  6. Step 6: Final answer
    x = 11,031.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.