Home / 21,114.36-31,680-7,970.46

Finding the Fourth Proportional to 21,114.36, 31,680 and 7,970.46

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Solution

The fourth proportional to 21,114.36, 31,680 and 7,970.46 is: 11,958.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,114.36 : 31,680 = 7,970.46 : x
  2. Step 2: Convert to fraction form
    21,114.36/31,680 = 7,970.46/x
  3. Step 3: Cross multiply
    21,114.36x = 31,680 × 7,970.46
  4. Step 4: Simplify right side
    21,114.36x = 252,504,172.80
  5. Step 5: Solve for x
    x = 252,504,172.80/21,114.36
  6. Step 6: Final answer
    x = 11,958.88

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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.