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Finding the Fourth Proportional to 7,865.03, 11,780.53 and 3,698.79

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Solution

The fourth proportional to 7,865.03, 11,780.53 and 3,698.79 is: 5,540.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.03 : 11,780.53 = 3,698.79 : x
  2. Step 2: Convert to fraction form
    7,865.03/11,780.53 = 3,698.79/x
  3. Step 3: Cross multiply
    7,865.03x = 11,780.53 × 3,698.79
  4. Step 4: Simplify right side
    7,865.03x = 43,573,706.56
  5. Step 5: Solve for x
    x = 43,573,706.56/7,865.03
  6. Step 6: Final answer
    x = 5,540.18

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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.