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Finding the Fourth Proportional to 8,406.09, 11,600.42 and 4,680.09

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Solution

The fourth proportional to 8,406.09, 11,600.42 and 4,680.09 is: 6,458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.09 : 11,600.42 = 4,680.09 : x
  2. Step 2: Convert to fraction form
    8,406.09/11,600.42 = 4,680.09/x
  3. Step 3: Cross multiply
    8,406.09x = 11,600.42 × 4,680.09
  4. Step 4: Simplify right side
    8,406.09x = 54,290,986.24
  5. Step 5: Solve for x
    x = 54,290,986.24/8,406.09
  6. Step 6: Final answer
    x = 6,458.53

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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.