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Finding the Fourth Proportional to 12,638.62, 18,965.22 and 4,852.90

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Solution

The fourth proportional to 12,638.62, 18,965.22 and 4,852.90 is: 7,282.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.62 : 18,965.22 = 4,852.90 : x
  2. Step 2: Convert to fraction form
    12,638.62/18,965.22 = 4,852.90/x
  3. Step 3: Cross multiply
    12,638.62x = 18,965.22 × 4,852.90
  4. Step 4: Simplify right side
    12,638.62x = 92,036,316.14
  5. Step 5: Solve for x
    x = 92,036,316.14/12,638.62
  6. Step 6: Final answer
    x = 7,282.15

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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.