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Finding the Fourth Proportional to 12,908.96, 17,812.24 and 8,128.16

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Solution

The fourth proportional to 12,908.96, 17,812.24 and 8,128.16 is: 11,215.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,908.96 : 17,812.24 = 8,128.16 : x
  2. Step 2: Convert to fraction form
    12,908.96/17,812.24 = 8,128.16/x
  3. Step 3: Cross multiply
    12,908.96x = 17,812.24 × 8,128.16
  4. Step 4: Simplify right side
    12,908.96x = 144,780,736.68
  5. Step 5: Solve for x
    x = 144,780,736.68/12,908.96
  6. Step 6: Final answer
    x = 11,215.52

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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.