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Finding the Fourth Proportional to 8,609, 12,901.38 and 6,846.19

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Solution

The fourth proportional to 8,609, 12,901.38 and 6,846.19 is: 10,259.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609 : 12,901.38 = 6,846.19 : x
  2. Step 2: Convert to fraction form
    8,609/12,901.38 = 6,846.19/x
  3. Step 3: Cross multiply
    8,609x = 12,901.38 × 6,846.19
  4. Step 4: Simplify right side
    8,609x = 88,325,234.24
  5. Step 5: Solve for x
    x = 88,325,234.24/8,609
  6. Step 6: Final answer
    x = 10,259.64

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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.