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Finding the Fourth Proportional to 13,786, 20,680.88 and 6,392.40

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Solution

The fourth proportional to 13,786, 20,680.88 and 6,392.40 is: 9,589.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,786 : 20,680.88 = 6,392.40 : x
  2. Step 2: Convert to fraction form
    13,786/20,680.88 = 6,392.40/x
  3. Step 3: Cross multiply
    13,786x = 20,680.88 × 6,392.40
  4. Step 4: Simplify right side
    13,786x = 132,200,457.31
  5. Step 5: Solve for x
    x = 132,200,457.31/13,786
  6. Step 6: Final answer
    x = 9,589.47

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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.