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Finding the Fourth Proportional to 20,415.78, 28,180.80 and 12,874.80

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Solution

The fourth proportional to 20,415.78, 28,180.80 and 12,874.80 is: 17,771.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,415.78 : 28,180.80 = 12,874.80 : x
  2. Step 2: Convert to fraction form
    20,415.78/28,180.80 = 12,874.80/x
  3. Step 3: Cross multiply
    20,415.78x = 28,180.80 × 12,874.80
  4. Step 4: Simplify right side
    20,415.78x = 362,822,163.84
  5. Step 5: Solve for x
    x = 362,822,163.84/20,415.78
  6. Step 6: Final answer
    x = 17,771.65

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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.