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Finding the Fourth Proportional to 13,784.01, 20,663.88 and 5,469.87

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Solution

The fourth proportional to 13,784.01, 20,663.88 and 5,469.87 is: 8,199.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.01 : 20,663.88 = 5,469.87 : x
  2. Step 2: Convert to fraction form
    13,784.01/20,663.88 = 5,469.87/x
  3. Step 3: Cross multiply
    13,784.01x = 20,663.88 × 5,469.87
  4. Step 4: Simplify right side
    13,784.01x = 113,028,737.30
  5. Step 5: Solve for x
    x = 113,028,737.30/13,784.01
  6. Step 6: Final answer
    x = 8,199.99

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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.