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Finding the Fourth Proportional to 12,660.21, 17,471.07 and 7,358.22

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Solution

The fourth proportional to 12,660.21, 17,471.07 and 7,358.22 is: 10,154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,660.21 : 17,471.07 = 7,358.22 : x
  2. Step 2: Convert to fraction form
    12,660.21/17,471.07 = 7,358.22/x
  3. Step 3: Cross multiply
    12,660.21x = 17,471.07 × 7,358.22
  4. Step 4: Simplify right side
    12,660.21x = 128,555,976.70
  5. Step 5: Solve for x
    x = 128,555,976.70/12,660.21
  6. Step 6: Final answer
    x = 10,154.33

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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.