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Finding the Fourth Proportional to 12,786.86, 17,643.76 and 7,121.45

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Solution

The fourth proportional to 12,786.86, 17,643.76 and 7,121.45 is: 9,826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786.86 : 17,643.76 = 7,121.45 : x
  2. Step 2: Convert to fraction form
    12,786.86/17,643.76 = 7,121.45/x
  3. Step 3: Cross multiply
    12,786.86x = 17,643.76 × 7,121.45
  4. Step 4: Simplify right side
    12,786.86x = 125,649,180.96
  5. Step 5: Solve for x
    x = 125,649,180.96/12,786.86
  6. Step 6: Final answer
    x = 9,826.43

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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.