Home / 10,414.80-15,624-3,845.88

Finding the Fourth Proportional to 10,414.80, 15,624 and 3,845.88

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Solution

The fourth proportional to 10,414.80, 15,624 and 3,845.88 is: 5,769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.80 : 15,624 = 3,845.88 : x
  2. Step 2: Convert to fraction form
    10,414.80/15,624 = 3,845.88/x
  3. Step 3: Cross multiply
    10,414.80x = 15,624 × 3,845.88
  4. Step 4: Simplify right side
    10,414.80x = 60,088,029.12
  5. Step 5: Solve for x
    x = 60,088,029.12/10,414.80
  6. Step 6: Final answer
    x = 5,769.48

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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.