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Finding the Fourth Proportional to 7,838.76, 11,759.88 and 2,644.50

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Solution

The fourth proportional to 7,838.76, 11,759.88 and 2,644.50 is: 3,967.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.76 : 11,759.88 = 2,644.50 : x
  2. Step 2: Convert to fraction form
    7,838.76/11,759.88 = 2,644.50/x
  3. Step 3: Cross multiply
    7,838.76x = 11,759.88 × 2,644.50
  4. Step 4: Simplify right side
    7,838.76x = 31,099,002.66
  5. Step 5: Solve for x
    x = 31,099,002.66/7,838.76
  6. Step 6: Final answer
    x = 3,967.34

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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.