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Finding the Fourth Proportional to 7,869.59, 11,805.60 and 2,674.25

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Solution

The fourth proportional to 7,869.59, 11,805.60 and 2,674.25 is: 4,011.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.59 : 11,805.60 = 2,674.25 : x
  2. Step 2: Convert to fraction form
    7,869.59/11,805.60 = 2,674.25/x
  3. Step 3: Cross multiply
    7,869.59x = 11,805.60 × 2,674.25
  4. Step 4: Simplify right side
    7,869.59x = 31,571,125.80
  5. Step 5: Solve for x
    x = 31,571,125.80/7,869.59
  6. Step 6: Final answer
    x = 4,011.79

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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.