Home / 10,206-14,084.28-5,729.67

Finding the Fourth Proportional to 10,206, 14,084.28 and 5,729.67

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Solution

The fourth proportional to 10,206, 14,084.28 and 5,729.67 is: 7,906.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206 : 14,084.28 = 5,729.67 : x
  2. Step 2: Convert to fraction form
    10,206/14,084.28 = 5,729.67/x
  3. Step 3: Cross multiply
    10,206x = 14,084.28 × 5,729.67
  4. Step 4: Simplify right side
    10,206x = 80,698,276.59
  5. Step 5: Solve for x
    x = 80,698,276.59/10,206
  6. Step 6: Final answer
    x = 7,906.94

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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.