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Finding the Fourth Proportional to 13,712.49, 18,928.49 and 8,414.48

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Solution

The fourth proportional to 13,712.49, 18,928.49 and 8,414.48 is: 11,615.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.49 : 18,928.49 = 8,414.48 : x
  2. Step 2: Convert to fraction form
    13,712.49/18,928.49 = 8,414.48/x
  3. Step 3: Cross multiply
    13,712.49x = 18,928.49 × 8,414.48
  4. Step 4: Simplify right side
    13,712.49x = 159,273,405.78
  5. Step 5: Solve for x
    x = 159,273,405.78/13,712.49
  6. Step 6: Final answer
    x = 11,615.21

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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.