Home / 10,208.85-15,288.57-5,198.07

Finding the Fourth Proportional to 10,208.85, 15,288.57 and 5,198.07

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Solution

The fourth proportional to 10,208.85, 15,288.57 and 5,198.07 is: 7,784.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208.85 : 15,288.57 = 5,198.07 : x
  2. Step 2: Convert to fraction form
    10,208.85/15,288.57 = 5,198.07/x
  3. Step 3: Cross multiply
    10,208.85x = 15,288.57 × 5,198.07
  4. Step 4: Simplify right side
    10,208.85x = 79,471,057.06
  5. Step 5: Solve for x
    x = 79,471,057.06/10,208.85
  6. Step 6: Final answer
    x = 7,784.53

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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.