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Finding the Fourth Proportional to 13,539, 20,311.74 and 4,305

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Solution

The fourth proportional to 13,539, 20,311.74 and 4,305 is: 6,458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539 : 20,311.74 = 4,305 : x
  2. Step 2: Convert to fraction form
    13,539/20,311.74 = 4,305/x
  3. Step 3: Cross multiply
    13,539x = 20,311.74 × 4,305
  4. Step 4: Simplify right side
    13,539x = 87,442,040.70
  5. Step 5: Solve for x
    x = 87,442,040.70/13,539
  6. Step 6: Final answer
    x = 6,458.53

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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.