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Finding the Fourth Proportional to 21,172.80, 31,744.80 and 10,084.80

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Solution

The fourth proportional to 21,172.80, 31,744.80 and 10,084.80 is: 15,120.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,172.80 : 31,744.80 = 10,084.80 : x
  2. Step 2: Convert to fraction form
    21,172.80/31,744.80 = 10,084.80/x
  3. Step 3: Cross multiply
    21,172.80x = 31,744.80 × 10,084.80
  4. Step 4: Simplify right side
    21,172.80x = 320,139,959.04
  5. Step 5: Solve for x
    x = 320,139,959.04/21,172.80
  6. Step 6: Final answer
    x = 15,120.34

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1.5x scale

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.