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Finding the Fourth Proportional to 12,287.10, 16,956.65 and 6,982.82

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Solution

The fourth proportional to 12,287.10, 16,956.65 and 6,982.82 is: 9,636.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.10 : 16,956.65 = 6,982.82 : x
  2. Step 2: Convert to fraction form
    12,287.10/16,956.65 = 6,982.82/x
  3. Step 3: Cross multiply
    12,287.10x = 16,956.65 × 6,982.82
  4. Step 4: Simplify right side
    12,287.10x = 118,405,115.06
  5. Step 5: Solve for x
    x = 118,405,115.06/12,287.10
  6. Step 6: Final answer
    x = 9,636.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.