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Finding the Fourth Proportional to 21,012.78, 31,524.06 and 7,161.78

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Solution

The fourth proportional to 21,012.78, 31,524.06 and 7,161.78 is: 10,744.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,012.78 : 31,524.06 = 7,161.78 : x
  2. Step 2: Convert to fraction form
    21,012.78/31,524.06 = 7,161.78/x
  3. Step 3: Cross multiply
    21,012.78x = 31,524.06 × 7,161.78
  4. Step 4: Simplify right side
    21,012.78x = 225,768,382.43
  5. Step 5: Solve for x
    x = 225,768,382.43/21,012.78
  6. Step 6: Final answer
    x = 10,744.34

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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.