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Finding the Fourth Proportional to 13,774.77, 20,662.06 and 6,650.69

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Solution

The fourth proportional to 13,774.77, 20,662.06 and 6,650.69 is: 9,975.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.77 : 20,662.06 = 6,650.69 : x
  2. Step 2: Convert to fraction form
    13,774.77/20,662.06 = 6,650.69/x
  3. Step 3: Cross multiply
    13,774.77x = 20,662.06 × 6,650.69
  4. Step 4: Simplify right side
    13,774.77x = 137,416,983.28
  5. Step 5: Solve for x
    x = 137,416,983.28/13,774.77
  6. Step 6: Final answer
    x = 9,975.99

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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.