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Finding the Fourth Proportional to 13,040.92, 17,998.77 and 7,738.66

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Solution

The fourth proportional to 13,040.92, 17,998.77 and 7,738.66 is: 10,680.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,040.92 : 17,998.77 = 7,738.66 : x
  2. Step 2: Convert to fraction form
    13,040.92/17,998.77 = 7,738.66/x
  3. Step 3: Cross multiply
    13,040.92x = 17,998.77 × 7,738.66
  4. Step 4: Simplify right side
    13,040.92x = 139,286,361.45
  5. Step 5: Solve for x
    x = 139,286,361.45/13,040.92
  6. Step 6: Final answer
    x = 10,680.72

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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.