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Finding the Fourth Proportional to 13,653.54, 18,836.82 and 8,940.42

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Solution

The fourth proportional to 13,653.54, 18,836.82 and 8,940.42 is: 12,334.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.54 : 18,836.82 = 8,940.42 : x
  2. Step 2: Convert to fraction form
    13,653.54/18,836.82 = 8,940.42/x
  3. Step 3: Cross multiply
    13,653.54x = 18,836.82 × 8,940.42
  4. Step 4: Simplify right side
    13,653.54x = 168,409,082.26
  5. Step 5: Solve for x
    x = 168,409,082.26/13,653.54
  6. Step 6: Final answer
    x = 12,334.46

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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.