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Finding the Fourth Proportional to 12,287.28, 16,956.46 and 6,982.10

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Solution

The fourth proportional to 12,287.28, 16,956.46 and 6,982.10 is: 9,635.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.28 : 16,956.46 = 6,982.10 : x
  2. Step 2: Convert to fraction form
    12,287.28/16,956.46 = 6,982.10/x
  3. Step 3: Cross multiply
    12,287.28x = 16,956.46 × 6,982.10
  4. Step 4: Simplify right side
    12,287.28x = 118,391,699.37
  5. Step 5: Solve for x
    x = 118,391,699.37/12,287.28
  6. Step 6: Final answer
    x = 9,635.31

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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.