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Finding the Fourth Proportional to 11,744, 16,206.72 and 6,778.88

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Solution

The fourth proportional to 11,744, 16,206.72 and 6,778.88 is: 9,354.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744 : 16,206.72 = 6,778.88 : x
  2. Step 2: Convert to fraction form
    11,744/16,206.72 = 6,778.88/x
  3. Step 3: Cross multiply
    11,744x = 16,206.72 × 6,778.88
  4. Step 4: Simplify right side
    11,744x = 109,863,410.07
  5. Step 5: Solve for x
    x = 109,863,410.07/11,744
  6. Step 6: Final answer
    x = 9,354.85

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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.