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Finding the Fourth Proportional to 12,556.56, 17,325.80 and 8,138

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Solution

The fourth proportional to 12,556.56, 17,325.80 and 8,138 is: 11,228.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,556.56 : 17,325.80 = 8,138 : x
  2. Step 2: Convert to fraction form
    12,556.56/17,325.80 = 8,138/x
  3. Step 3: Cross multiply
    12,556.56x = 17,325.80 × 8,138
  4. Step 4: Simplify right side
    12,556.56x = 140,997,360.40
  5. Step 5: Solve for x
    x = 140,997,360.40/12,556.56
  6. Step 6: Final answer
    x = 11,228.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.