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Finding the Fourth Proportional to 20,433, 28,178.82 and 13,255.44

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Solution

The fourth proportional to 20,433, 28,178.82 and 13,255.44 is: 18,280.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,433 : 28,178.82 = 13,255.44 : x
  2. Step 2: Convert to fraction form
    20,433/28,178.82 = 13,255.44/x
  3. Step 3: Cross multiply
    20,433x = 28,178.82 × 13,255.44
  4. Step 4: Simplify right side
    20,433x = 373,522,657.78
  5. Step 5: Solve for x
    x = 373,522,657.78/20,433
  6. Step 6: Final answer
    x = 18,280.36

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1.5x scale

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.