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Finding the Fourth Proportional to 12,888.64, 17,746.78 and 11,286.12

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Solution

The fourth proportional to 12,888.64, 17,746.78 and 11,286.12 is: 15,540.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,888.64 : 17,746.78 = 11,286.12 : x
  2. Step 2: Convert to fraction form
    12,888.64/17,746.78 = 11,286.12/x
  3. Step 3: Cross multiply
    12,888.64x = 17,746.78 × 11,286.12
  4. Step 4: Simplify right side
    12,888.64x = 200,292,288.69
  5. Step 5: Solve for x
    x = 200,292,288.69/12,888.64
  6. Step 6: Final answer
    x = 15,540.22

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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.