Home / 6,784.28-10,178-2,104.05

Finding the Fourth Proportional to 6,784.28, 10,178 and 2,104.05

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Solution

The fourth proportional to 6,784.28, 10,178 and 2,104.05 is: 3,156.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.28 : 10,178 = 2,104.05 : x
  2. Step 2: Convert to fraction form
    6,784.28/10,178 = 2,104.05/x
  3. Step 3: Cross multiply
    6,784.28x = 10,178 × 2,104.05
  4. Step 4: Simplify right side
    6,784.28x = 21,415,020.90
  5. Step 5: Solve for x
    x = 21,415,020.90/6,784.28
  6. Step 6: Final answer
    x = 3,156.57

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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.