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Finding the Fourth Proportional to 13,491.65, 18,620.73 and 8,190

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Solution

The fourth proportional to 13,491.65, 18,620.73 and 8,190 is: 11,303.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,491.65 : 18,620.73 = 8,190 : x
  2. Step 2: Convert to fraction form
    13,491.65/18,620.73 = 8,190/x
  3. Step 3: Cross multiply
    13,491.65x = 18,620.73 × 8,190
  4. Step 4: Simplify right side
    13,491.65x = 152,503,778.70
  5. Step 5: Solve for x
    x = 152,503,778.70/13,491.65
  6. Step 6: Final answer
    x = 11,303.57

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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.