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Finding the Fourth Proportional to 12,674.40, 17,489.41 and 7,369.57

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Solution

The fourth proportional to 12,674.40, 17,489.41 and 7,369.57 is: 10,169.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.40 : 17,489.41 = 7,369.57 : x
  2. Step 2: Convert to fraction form
    12,674.40/17,489.41 = 7,369.57/x
  3. Step 3: Cross multiply
    12,674.40x = 17,489.41 × 7,369.57
  4. Step 4: Simplify right side
    12,674.40x = 128,889,431.25
  5. Step 5: Solve for x
    x = 128,889,431.25/12,674.40
  6. Step 6: Final answer
    x = 10,169.27

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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.