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Finding the Fourth Proportional to 13,479.76, 20,219.82 and 5,694.04

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Solution

The fourth proportional to 13,479.76, 20,219.82 and 5,694.04 is: 8,541.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,479.76 : 20,219.82 = 5,694.04 : x
  2. Step 2: Convert to fraction form
    13,479.76/20,219.82 = 5,694.04/x
  3. Step 3: Cross multiply
    13,479.76x = 20,219.82 × 5,694.04
  4. Step 4: Simplify right side
    13,479.76x = 115,132,463.87
  5. Step 5: Solve for x
    x = 115,132,463.87/13,479.76
  6. Step 6: Final answer
    x = 8,541.14

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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.