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Finding the Fourth Proportional to 12,513.76, 18,794.94 and 9,213.82

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Solution

The fourth proportional to 12,513.76, 18,794.94 and 9,213.82 is: 13,838.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,513.76 : 18,794.94 = 9,213.82 : x
  2. Step 2: Convert to fraction form
    12,513.76/18,794.94 = 9,213.82/x
  3. Step 3: Cross multiply
    12,513.76x = 18,794.94 × 9,213.82
  4. Step 4: Simplify right side
    12,513.76x = 173,173,194.07
  5. Step 5: Solve for x
    x = 173,173,194.07/12,513.76
  6. Step 6: Final answer
    x = 13,838.62

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1.5x scale

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.