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Finding the Fourth Proportional to 9,996.40, 14,917.10 and 8,268.40

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Solution

The fourth proportional to 9,996.40, 14,917.10 and 8,268.40 is: 12,338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.40 : 14,917.10 = 8,268.40 : x
  2. Step 2: Convert to fraction form
    9,996.40/14,917.10 = 8,268.40/x
  3. Step 3: Cross multiply
    9,996.40x = 14,917.10 × 8,268.40
  4. Step 4: Simplify right side
    9,996.40x = 123,340,549.64
  5. Step 5: Solve for x
    x = 123,340,549.64/9,996.40
  6. Step 6: Final answer
    x = 12,338.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.