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Finding the Fourth Proportional to 17,690.38, 24,392.79 and 13,648

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Solution

The fourth proportional to 17,690.38, 24,392.79 and 13,648 is: 18,818.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,690.38 : 24,392.79 = 13,648 : x
  2. Step 2: Convert to fraction form
    17,690.38/24,392.79 = 13,648/x
  3. Step 3: Cross multiply
    17,690.38x = 24,392.79 × 13,648
  4. Step 4: Simplify right side
    17,690.38x = 332,912,797.92
  5. Step 5: Solve for x
    x = 332,912,797.92/17,690.38
  6. Step 6: Final answer
    x = 18,818.86

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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.