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Finding the Fourth Proportional to 12,768.28, 17,613.03 and 7,662.48

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Solution

The fourth proportional to 12,768.28, 17,613.03 and 7,662.48 is: 10,569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768.28 : 17,613.03 = 7,662.48 : x
  2. Step 2: Convert to fraction form
    12,768.28/17,613.03 = 7,662.48/x
  3. Step 3: Cross multiply
    12,768.28x = 17,613.03 × 7,662.48
  4. Step 4: Simplify right side
    12,768.28x = 134,959,490.11
  5. Step 5: Solve for x
    x = 134,959,490.11/12,768.28
  6. Step 6: Final answer
    x = 10,569.90

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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.