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Finding the Fourth Proportional to 6,139.09, 9,207.09 and 1,756.57

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Solution

The fourth proportional to 6,139.09, 9,207.09 and 1,756.57 is: 2,634.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.09 : 9,207.09 = 1,756.57 : x
  2. Step 2: Convert to fraction form
    6,139.09/9,207.09 = 1,756.57/x
  3. Step 3: Cross multiply
    6,139.09x = 9,207.09 × 1,756.57
  4. Step 4: Simplify right side
    6,139.09x = 16,172,898.08
  5. Step 5: Solve for x
    x = 16,172,898.08/6,139.09
  6. Step 6: Final answer
    x = 2,634.41

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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.