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Finding the Fourth Proportional to 21,251.76, 31,878.72 and 7,213.38

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Solution

The fourth proportional to 21,251.76, 31,878.72 and 7,213.38 is: 10,820.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,251.76 : 31,878.72 = 7,213.38 : x
  2. Step 2: Convert to fraction form
    21,251.76/31,878.72 = 7,213.38/x
  3. Step 3: Cross multiply
    21,251.76x = 31,878.72 × 7,213.38
  4. Step 4: Simplify right side
    21,251.76x = 229,953,321.27
  5. Step 5: Solve for x
    x = 229,953,321.27/21,251.76
  6. Step 6: Final answer
    x = 10,820.44

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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.