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Finding the Fourth Proportional to 18,307, 27,465.96 and 12,980.44

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Solution

The fourth proportional to 18,307, 27,465.96 and 12,980.44 is: 19,474.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,307 : 27,465.96 = 12,980.44 : x
  2. Step 2: Convert to fraction form
    18,307/27,465.96 = 12,980.44/x
  3. Step 3: Cross multiply
    18,307x = 27,465.96 × 12,980.44
  4. Step 4: Simplify right side
    18,307x = 356,520,245.82
  5. Step 5: Solve for x
    x = 356,520,245.82/18,307
  6. Step 6: Final answer
    x = 19,474.53

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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.