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Finding the Fourth Proportional to 10,415.12, 14,372.69 and 5,939.12

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Solution

The fourth proportional to 10,415.12, 14,372.69 and 5,939.12 is: 8,195.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.12 : 14,372.69 = 5,939.12 : x
  2. Step 2: Convert to fraction form
    10,415.12/14,372.69 = 5,939.12/x
  3. Step 3: Cross multiply
    10,415.12x = 14,372.69 × 5,939.12
  4. Step 4: Simplify right side
    10,415.12x = 85,361,029.07
  5. Step 5: Solve for x
    x = 85,361,029.07/10,415.12
  6. Step 6: Final answer
    x = 8,195.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.