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Finding the Fourth Proportional to 13,453.92, 18,572.88 and 8,078.16

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Solution

The fourth proportional to 13,453.92, 18,572.88 and 8,078.16 is: 11,151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,453.92 : 18,572.88 = 8,078.16 : x
  2. Step 2: Convert to fraction form
    13,453.92/18,572.88 = 8,078.16/x
  3. Step 3: Cross multiply
    13,453.92x = 18,572.88 × 8,078.16
  4. Step 4: Simplify right side
    13,453.92x = 150,034,696.30
  5. Step 5: Solve for x
    x = 150,034,696.30/13,453.92
  6. Step 6: Final answer
    x = 11,151.75

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1.5x scale

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.