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Finding the Fourth Proportional to 10,412, 15,620.16 and 4,256

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Solution

The fourth proportional to 10,412, 15,620.16 and 4,256 is: 6,384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412 : 15,620.16 = 4,256 : x
  2. Step 2: Convert to fraction form
    10,412/15,620.16 = 4,256/x
  3. Step 3: Cross multiply
    10,412x = 15,620.16 × 4,256
  4. Step 4: Simplify right side
    10,412x = 66,479,400.96
  5. Step 5: Solve for x
    x = 66,479,400.96/10,412
  6. Step 6: Final answer
    x = 6,384.88

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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.