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Finding the Fourth Proportional to 12,608, 18,899.68 and 5,217.64

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Solution

The fourth proportional to 12,608, 18,899.68 and 5,217.64 is: 7,821.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,608 : 18,899.68 = 5,217.64 : x
  2. Step 2: Convert to fraction form
    12,608/18,899.68 = 5,217.64/x
  3. Step 3: Cross multiply
    12,608x = 18,899.68 × 5,217.64
  4. Step 4: Simplify right side
    12,608x = 98,611,726.36
  5. Step 5: Solve for x
    x = 98,611,726.36/12,608
  6. Step 6: Final answer
    x = 7,821.36

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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.