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Finding the Fourth Proportional to 13,634, 18,814.74 and 7,584.20

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Solution

The fourth proportional to 13,634, 18,814.74 and 7,584.20 is: 10,466.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634 : 18,814.74 = 7,584.20 : x
  2. Step 2: Convert to fraction form
    13,634/18,814.74 = 7,584.20/x
  3. Step 3: Cross multiply
    13,634x = 18,814.74 × 7,584.20
  4. Step 4: Simplify right side
    13,634x = 142,694,751.11
  5. Step 5: Solve for x
    x = 142,694,751.11/13,634
  6. Step 6: Final answer
    x = 10,466.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.