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Finding the Fourth Proportional to 12,690, 17,519.88 and 8,281.68

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Solution

The fourth proportional to 12,690, 17,519.88 and 8,281.68 is: 11,433.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,690 : 17,519.88 = 8,281.68 : x
  2. Step 2: Convert to fraction form
    12,690/17,519.88 = 8,281.68/x
  3. Step 3: Cross multiply
    12,690x = 17,519.88 × 8,281.68
  4. Step 4: Simplify right side
    12,690x = 145,094,039.80
  5. Step 5: Solve for x
    x = 145,094,039.80/12,690
  6. Step 6: Final answer
    x = 11,433.73

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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.