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Finding the Fourth Proportional to 11,178, 16,751.40 and 8,401.41

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Solution

The fourth proportional to 11,178, 16,751.40 and 8,401.41 is: 12,590.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178 : 16,751.40 = 8,401.41 : x
  2. Step 2: Convert to fraction form
    11,178/16,751.40 = 8,401.41/x
  3. Step 3: Cross multiply
    11,178x = 16,751.40 × 8,401.41
  4. Step 4: Simplify right side
    11,178x = 140,735,379.47
  5. Step 5: Solve for x
    x = 140,735,379.47/11,178
  6. Step 6: Final answer
    x = 12,590.39

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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.