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Finding the Fourth Proportional to 12,506.03, 18,738.22 and 8,800.47

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Solution

The fourth proportional to 12,506.03, 18,738.22 and 8,800.47 is: 13,186.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.03 : 18,738.22 = 8,800.47 : x
  2. Step 2: Convert to fraction form
    12,506.03/18,738.22 = 8,800.47/x
  3. Step 3: Cross multiply
    12,506.03x = 18,738.22 × 8,800.47
  4. Step 4: Simplify right side
    12,506.03x = 164,905,142.96
  5. Step 5: Solve for x
    x = 164,905,142.96/12,506.03
  6. Step 6: Final answer
    x = 13,186.05

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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.