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Finding the Fourth Proportional to 2,755.08, 3,804.12 and 2,164.50

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Solution

The fourth proportional to 2,755.08, 3,804.12 and 2,164.50 is: 2,988.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.08 : 3,804.12 = 2,164.50 : x
  2. Step 2: Convert to fraction form
    2,755.08/3,804.12 = 2,164.50/x
  3. Step 3: Cross multiply
    2,755.08x = 3,804.12 × 2,164.50
  4. Step 4: Simplify right side
    2,755.08x = 8,234,017.74
  5. Step 5: Solve for x
    x = 8,234,017.74/2,755.08
  6. Step 6: Final answer
    x = 2,988.67

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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.