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Finding the Fourth Proportional to 7,978.53, 11,009.67 and 4,620.27

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Solution

The fourth proportional to 7,978.53, 11,009.67 and 4,620.27 is: 6,375.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.53 : 11,009.67 = 4,620.27 : x
  2. Step 2: Convert to fraction form
    7,978.53/11,009.67 = 4,620.27/x
  3. Step 3: Cross multiply
    7,978.53x = 11,009.67 × 4,620.27
  4. Step 4: Simplify right side
    7,978.53x = 50,867,697.96
  5. Step 5: Solve for x
    x = 50,867,697.96/7,978.53
  6. Step 6: Final answer
    x = 6,375.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.