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Finding the Fourth Proportional to 12,662.74, 17,475.64 and 6,998.60

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Solution

The fourth proportional to 12,662.74, 17,475.64 and 6,998.60 is: 9,658.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.74 : 17,475.64 = 6,998.60 : x
  2. Step 2: Convert to fraction form
    12,662.74/17,475.64 = 6,998.60/x
  3. Step 3: Cross multiply
    12,662.74x = 17,475.64 × 6,998.60
  4. Step 4: Simplify right side
    12,662.74x = 122,304,952.92
  5. Step 5: Solve for x
    x = 122,304,952.92/12,662.74
  6. Step 6: Final answer
    x = 9,658.65

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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.