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Finding the Fourth Proportional to 6,806.61, 10,209.99 and 2,126.43

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Solution

The fourth proportional to 6,806.61, 10,209.99 and 2,126.43 is: 3,189.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.61 : 10,209.99 = 2,126.43 : x
  2. Step 2: Convert to fraction form
    6,806.61/10,209.99 = 2,126.43/x
  3. Step 3: Cross multiply
    6,806.61x = 10,209.99 × 2,126.43
  4. Step 4: Simplify right side
    6,806.61x = 21,710,829.04
  5. Step 5: Solve for x
    x = 21,710,829.04/6,806.61
  6. Step 6: Final answer
    x = 3,189.67

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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.