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Finding the Fourth Proportional to 13,874.56, 20,784.33 and 6,468.84

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Solution

The fourth proportional to 13,874.56, 20,784.33 and 6,468.84 is: 9,690.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.56 : 20,784.33 = 6,468.84 : x
  2. Step 2: Convert to fraction form
    13,874.56/20,784.33 = 6,468.84/x
  3. Step 3: Cross multiply
    13,874.56x = 20,784.33 × 6,468.84
  4. Step 4: Simplify right side
    13,874.56x = 134,450,505.28
  5. Step 5: Solve for x
    x = 134,450,505.28/13,874.56
  6. Step 6: Final answer
    x = 9,690.44

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1.5x scale

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.