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Finding the Fourth Proportional to 13,672.76, 20,509.16 and 3,812.04

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Solution

The fourth proportional to 13,672.76, 20,509.16 and 3,812.04 is: 5,718.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,672.76 : 20,509.16 = 3,812.04 : x
  2. Step 2: Convert to fraction form
    13,672.76/20,509.16 = 3,812.04/x
  3. Step 3: Cross multiply
    13,672.76x = 20,509.16 × 3,812.04
  4. Step 4: Simplify right side
    13,672.76x = 78,181,738.29
  5. Step 5: Solve for x
    x = 78,181,738.29/13,672.76
  6. Step 6: Final answer
    x = 5,718.07

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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.