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Finding the Fourth Proportional to 7,980, 11,012.40 and 4,668

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Solution

The fourth proportional to 7,980, 11,012.40 and 4,668 is: 6,441.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980 : 11,012.40 = 4,668 : x
  2. Step 2: Convert to fraction form
    7,980/11,012.40 = 4,668/x
  3. Step 3: Cross multiply
    7,980x = 11,012.40 × 4,668
  4. Step 4: Simplify right side
    7,980x = 51,405,883.20
  5. Step 5: Solve for x
    x = 51,405,883.20/7,980
  6. Step 6: Final answer
    x = 6,441.84

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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.