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Finding the Fourth Proportional to 8,139.85, 12,182.05 and 6,825.09

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Solution

The fourth proportional to 8,139.85, 12,182.05 and 6,825.09 is: 10,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139.85 : 12,182.05 = 6,825.09 : x
  2. Step 2: Convert to fraction form
    8,139.85/12,182.05 = 6,825.09/x
  3. Step 3: Cross multiply
    8,139.85x = 12,182.05 × 6,825.09
  4. Step 4: Simplify right side
    8,139.85x = 83,143,577.76
  5. Step 5: Solve for x
    x = 83,143,577.76/8,139.85
  6. Step 6: Final answer
    x = 10,214.38

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1.5x scale

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.