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Finding the Fourth Proportional to 13,673.16, 20,510.20 and 3,811.62

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Solution

The fourth proportional to 13,673.16, 20,510.20 and 3,811.62 is: 5,717.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,673.16 : 20,510.20 = 3,811.62 : x
  2. Step 2: Convert to fraction form
    13,673.16/20,510.20 = 3,811.62/x
  3. Step 3: Cross multiply
    13,673.16x = 20,510.20 × 3,811.62
  4. Step 4: Simplify right side
    13,673.16x = 78,177,088.52
  5. Step 5: Solve for x
    x = 78,177,088.52/13,673.16
  6. Step 6: Final answer
    x = 5,717.56

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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.