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Finding the Fourth Proportional to 13,105.16, 19,660.86 and 3,871.16

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Solution

The fourth proportional to 13,105.16, 19,660.86 and 3,871.16 is: 5,807.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.16 : 19,660.86 = 3,871.16 : x
  2. Step 2: Convert to fraction form
    13,105.16/19,660.86 = 3,871.16/x
  3. Step 3: Cross multiply
    13,105.16x = 19,660.86 × 3,871.16
  4. Step 4: Simplify right side
    13,105.16x = 76,110,334.80
  5. Step 5: Solve for x
    x = 76,110,334.80/13,105.16
  6. Step 6: Final answer
    x = 5,807.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.