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Finding the Fourth Proportional to 13,284, 18,331.92 and 7,396

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Solution

The fourth proportional to 13,284, 18,331.92 and 7,396 is: 10,206.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284 : 18,331.92 = 7,396 : x
  2. Step 2: Convert to fraction form
    13,284/18,331.92 = 7,396/x
  3. Step 3: Cross multiply
    13,284x = 18,331.92 × 7,396
  4. Step 4: Simplify right side
    13,284x = 135,582,880.32
  5. Step 5: Solve for x
    x = 135,582,880.32/13,284
  6. Step 6: Final answer
    x = 10,206.48

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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.