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Finding the Fourth Proportional to 8,609.40, 12,914.10 and 5,110.20

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Solution

The fourth proportional to 8,609.40, 12,914.10 and 5,110.20 is: 7,665.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609.40 : 12,914.10 = 5,110.20 : x
  2. Step 2: Convert to fraction form
    8,609.40/12,914.10 = 5,110.20/x
  3. Step 3: Cross multiply
    8,609.40x = 12,914.10 × 5,110.20
  4. Step 4: Simplify right side
    8,609.40x = 65,993,633.82
  5. Step 5: Solve for x
    x = 65,993,633.82/8,609.40
  6. Step 6: Final answer
    x = 7,665.30

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Similar ratio
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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.