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Finding the Fourth Proportional to 7,978.07, 11,009.31 and 4,620.62

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Solution

The fourth proportional to 7,978.07, 11,009.31 and 4,620.62 is: 6,376.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.07 : 11,009.31 = 4,620.62 : x
  2. Step 2: Convert to fraction form
    7,978.07/11,009.31 = 4,620.62/x
  3. Step 3: Cross multiply
    7,978.07x = 11,009.31 × 4,620.62
  4. Step 4: Simplify right side
    7,978.07x = 50,869,837.97
  5. Step 5: Solve for x
    x = 50,869,837.97/7,978.07
  6. Step 6: Final answer
    x = 6,376.21

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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.