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Finding the Fourth Proportional to 13,643.84, 20,466 and 4,409.84

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Solution

The fourth proportional to 13,643.84, 20,466 and 4,409.84 is: 6,614.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.84 : 20,466 = 4,409.84 : x
  2. Step 2: Convert to fraction form
    13,643.84/20,466 = 4,409.84/x
  3. Step 3: Cross multiply
    13,643.84x = 20,466 × 4,409.84
  4. Step 4: Simplify right side
    13,643.84x = 90,251,785.44
  5. Step 5: Solve for x
    x = 90,251,785.44/13,643.84
  6. Step 6: Final answer
    x = 6,614.84

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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.