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Finding the Fourth Proportional to 11,178, 16,768.22 and 4,252.50

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Solution

The fourth proportional to 11,178, 16,768.22 and 4,252.50 is: 6,379.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178 : 16,768.22 = 4,252.50 : x
  2. Step 2: Convert to fraction form
    11,178/16,768.22 = 4,252.50/x
  3. Step 3: Cross multiply
    11,178x = 16,768.22 × 4,252.50
  4. Step 4: Simplify right side
    11,178x = 71,306,834.29
  5. Step 5: Solve for x
    x = 71,306,834.29/11,178
  6. Step 6: Final answer
    x = 6,379.21

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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.