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Finding the Fourth Proportional to 12,646.98, 18,946.17 and 7,083.45

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Solution

The fourth proportional to 12,646.98, 18,946.17 and 7,083.45 is: 10,611.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.98 : 18,946.17 = 7,083.45 : x
  2. Step 2: Convert to fraction form
    12,646.98/18,946.17 = 7,083.45/x
  3. Step 3: Cross multiply
    12,646.98x = 18,946.17 × 7,083.45
  4. Step 4: Simplify right side
    12,646.98x = 134,204,247.89
  5. Step 5: Solve for x
    x = 134,204,247.89/12,646.98
  6. Step 6: Final answer
    x = 10,611.56

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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.