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Finding the Fourth Proportional to 13,736, 18,955.68 and 7,448.38

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Solution

The fourth proportional to 13,736, 18,955.68 and 7,448.38 is: 10,278.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,736 : 18,955.68 = 7,448.38 : x
  2. Step 2: Convert to fraction form
    13,736/18,955.68 = 7,448.38/x
  3. Step 3: Cross multiply
    13,736x = 18,955.68 × 7,448.38
  4. Step 4: Simplify right side
    13,736x = 141,189,107.80
  5. Step 5: Solve for x
    x = 141,189,107.80/13,736
  6. Step 6: Final answer
    x = 10,278.76

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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.