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Finding the Fourth Proportional to 8,656.80, 12,982.32 and 3,109.20

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Solution

The fourth proportional to 8,656.80, 12,982.32 and 3,109.20 is: 4,662.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656.80 : 12,982.32 = 3,109.20 : x
  2. Step 2: Convert to fraction form
    8,656.80/12,982.32 = 3,109.20/x
  3. Step 3: Cross multiply
    8,656.80x = 12,982.32 × 3,109.20
  4. Step 4: Simplify right side
    8,656.80x = 40,364,629.34
  5. Step 5: Solve for x
    x = 40,364,629.34/8,656.80
  6. Step 6: Final answer
    x = 4,662.77

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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.