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Finding the Fourth Proportional to 7,978.07, 11,963.11 and 4,647.45

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Solution

The fourth proportional to 7,978.07, 11,963.11 and 4,647.45 is: 6,968.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.07 : 11,963.11 = 4,647.45 : x
  2. Step 2: Convert to fraction form
    7,978.07/11,963.11 = 4,647.45/x
  3. Step 3: Cross multiply
    7,978.07x = 11,963.11 × 4,647.45
  4. Step 4: Simplify right side
    7,978.07x = 55,597,955.57
  5. Step 5: Solve for x
    x = 55,597,955.57/7,978.07
  6. Step 6: Final answer
    x = 6,968.85

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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.