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Finding the Fourth Proportional to 8,609.40, 12,914.24 and 2,686.44

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Solution

The fourth proportional to 8,609.40, 12,914.24 and 2,686.44 is: 4,029.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609.40 : 12,914.24 = 2,686.44 : x
  2. Step 2: Convert to fraction form
    8,609.40/12,914.24 = 2,686.44/x
  3. Step 3: Cross multiply
    8,609.40x = 12,914.24 × 2,686.44
  4. Step 4: Simplify right side
    8,609.40x = 34,693,330.91
  5. Step 5: Solve for x
    x = 34,693,330.91/8,609.40
  6. Step 6: Final answer
    x = 4,029.70

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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.