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Finding the Fourth Proportional to 7,980.74, 11,978.39 and 6,125.84

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Solution

The fourth proportional to 7,980.74, 11,978.39 and 6,125.84 is: 9,194.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.74 : 11,978.39 = 6,125.84 : x
  2. Step 2: Convert to fraction form
    7,980.74/11,978.39 = 6,125.84/x
  3. Step 3: Cross multiply
    7,980.74x = 11,978.39 × 6,125.84
  4. Step 4: Simplify right side
    7,980.74x = 73,377,640.71
  5. Step 5: Solve for x
    x = 73,377,640.71/7,980.74
  6. Step 6: Final answer
    x = 9,194.35

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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.