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Finding the Fourth Proportional to 7,804.88, 11,708.20 and 2,609.68

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Solution

The fourth proportional to 7,804.88, 11,708.20 and 2,609.68 is: 3,914.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.88 : 11,708.20 = 2,609.68 : x
  2. Step 2: Convert to fraction form
    7,804.88/11,708.20 = 2,609.68/x
  3. Step 3: Cross multiply
    7,804.88x = 11,708.20 × 2,609.68
  4. Step 4: Simplify right side
    7,804.88x = 30,554,655.38
  5. Step 5: Solve for x
    x = 30,554,655.38/7,804.88
  6. Step 6: Final answer
    x = 3,914.81

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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.