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Finding the Fourth Proportional to 2,609.86, 3,913.86 and 854.44

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Solution

The fourth proportional to 2,609.86, 3,913.86 and 854.44 is: 1,281.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.86 : 3,913.86 = 854.44 : x
  2. Step 2: Convert to fraction form
    2,609.86/3,913.86 = 854.44/x
  3. Step 3: Cross multiply
    2,609.86x = 3,913.86 × 854.44
  4. Step 4: Simplify right side
    2,609.86x = 3,344,158.54
  5. Step 5: Solve for x
    x = 3,344,158.54/2,609.86
  6. Step 6: Final answer
    x = 1,281.36

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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.