Home / 10,206-15,309.87-2,811.06

Finding the Fourth Proportional to 10,206, 15,309.87 and 2,811.06

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Solution

The fourth proportional to 10,206, 15,309.87 and 2,811.06 is: 4,216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206 : 15,309.87 = 2,811.06 : x
  2. Step 2: Convert to fraction form
    10,206/15,309.87 = 2,811.06/x
  3. Step 3: Cross multiply
    10,206x = 15,309.87 × 2,811.06
  4. Step 4: Simplify right side
    10,206x = 43,036,963.16
  5. Step 5: Solve for x
    x = 43,036,963.16/10,206
  6. Step 6: Final answer
    x = 4,216.83

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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.