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Finding the Fourth Proportional to 21,344.80, 31,976.40 and 11,480.80

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Solution

The fourth proportional to 21,344.80, 31,976.40 and 11,480.80 is: 17,199.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,344.80 : 31,976.40 = 11,480.80 : x
  2. Step 2: Convert to fraction form
    21,344.80/31,976.40 = 11,480.80/x
  3. Step 3: Cross multiply
    21,344.80x = 31,976.40 × 11,480.80
  4. Step 4: Simplify right side
    21,344.80x = 367,114,653.12
  5. Step 5: Solve for x
    x = 367,114,653.12/21,344.80
  6. Step 6: Final answer
    x = 17,199.25

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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.