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Finding the Fourth Proportional to 27,099, 37,375.65 and 20,709.72

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Solution

The fourth proportional to 27,099, 37,375.65 and 20,709.72 is: 28,563.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,099 : 37,375.65 = 20,709.72 : x
  2. Step 2: Convert to fraction form
    27,099/37,375.65 = 20,709.72/x
  3. Step 3: Cross multiply
    27,099x = 37,375.65 × 20,709.72
  4. Step 4: Simplify right side
    27,099x = 774,039,246.32
  5. Step 5: Solve for x
    x = 774,039,246.32/27,099
  6. Step 6: Final answer
    x = 28,563.39

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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.