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Finding the Fourth Proportional to 8,645.96, 12,967.86 and 2,406.44

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Solution

The fourth proportional to 8,645.96, 12,967.86 and 2,406.44 is: 3,609.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645.96 : 12,967.86 = 2,406.44 : x
  2. Step 2: Convert to fraction form
    8,645.96/12,967.86 = 2,406.44/x
  3. Step 3: Cross multiply
    8,645.96x = 12,967.86 × 2,406.44
  4. Step 4: Simplify right side
    8,645.96x = 31,206,377.02
  5. Step 5: Solve for x
    x = 31,206,377.02/8,645.96
  6. Step 6: Final answer
    x = 3,609.36

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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.