Home / 10,206-14,081.85-5,729.33

Finding the Fourth Proportional to 10,206, 14,081.85 and 5,729.33

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Solution

The fourth proportional to 10,206, 14,081.85 and 5,729.33 is: 7,905.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206 : 14,081.85 = 5,729.33 : x
  2. Step 2: Convert to fraction form
    10,206/14,081.85 = 5,729.33/x
  3. Step 3: Cross multiply
    10,206x = 14,081.85 × 5,729.33
  4. Step 4: Simplify right side
    10,206x = 80,679,600.87
  5. Step 5: Solve for x
    x = 80,679,600.87/10,206
  6. Step 6: Final answer
    x = 7,905.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.