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Finding the Fourth Proportional to 18,657.83, 27,978.84 and 5,506.67

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Solution

The fourth proportional to 18,657.83, 27,978.84 and 5,506.67 is: 8,257.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,657.83 : 27,978.84 = 5,506.67 : x
  2. Step 2: Convert to fraction form
    18,657.83/27,978.84 = 5,506.67/x
  3. Step 3: Cross multiply
    18,657.83x = 27,978.84 × 5,506.67
  4. Step 4: Simplify right side
    18,657.83x = 154,070,098.97
  5. Step 5: Solve for x
    x = 154,070,098.97/18,657.83
  6. Step 6: Final answer
    x = 8,257.67

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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.