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Finding the Fourth Proportional to 6,505.76, 9,759.04 and 2,609.66

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Solution

The fourth proportional to 6,505.76, 9,759.04 and 2,609.66 is: 3,914.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.76 : 9,759.04 = 2,609.66 : x
  2. Step 2: Convert to fraction form
    6,505.76/9,759.04 = 2,609.66/x
  3. Step 3: Cross multiply
    6,505.76x = 9,759.04 × 2,609.66
  4. Step 4: Simplify right side
    6,505.76x = 25,467,776.33
  5. Step 5: Solve for x
    x = 25,467,776.33/6,505.76
  6. Step 6: Final answer
    x = 3,914.65

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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.