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Finding the Fourth Proportional to 11,709.81, 16,157.34 and 6,928.65

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Solution

The fourth proportional to 11,709.81, 16,157.34 and 6,928.65 is: 9,560.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.81 : 16,157.34 = 6,928.65 : x
  2. Step 2: Convert to fraction form
    11,709.81/16,157.34 = 6,928.65/x
  3. Step 3: Cross multiply
    11,709.81x = 16,157.34 × 6,928.65
  4. Step 4: Simplify right side
    11,709.81x = 111,948,553.79
  5. Step 5: Solve for x
    x = 111,948,553.79/11,709.81
  6. Step 6: Final answer
    x = 9,560.24

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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.