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Finding the Fourth Proportional to 12,145.88, 18,211.44 and 4,748.96

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Solution

The fourth proportional to 12,145.88, 18,211.44 and 4,748.96 is: 7,120.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145.88 : 18,211.44 = 4,748.96 : x
  2. Step 2: Convert to fraction form
    12,145.88/18,211.44 = 4,748.96/x
  3. Step 3: Cross multiply
    12,145.88x = 18,211.44 × 4,748.96
  4. Step 4: Simplify right side
    12,145.88x = 86,485,400.10
  5. Step 5: Solve for x
    x = 86,485,400.10/12,145.88
  6. Step 6: Final answer
    x = 7,120.55

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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.