Home / 10,206-15,301.51-3,965.36

Finding the Fourth Proportional to 10,206, 15,301.51 and 3,965.36

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Solution

The fourth proportional to 10,206, 15,301.51 and 3,965.36 is: 5,945.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206 : 15,301.51 = 3,965.36 : x
  2. Step 2: Convert to fraction form
    10,206/15,301.51 = 3,965.36/x
  3. Step 3: Cross multiply
    10,206x = 15,301.51 × 3,965.36
  4. Step 4: Simplify right side
    10,206x = 60,675,909.27
  5. Step 5: Solve for x
    x = 60,675,909.27/10,206
  6. Step 6: Final answer
    x = 5,945.12

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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.