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Finding the Fourth Proportional to 9,992.38, 13,790.10 and 5,744.80

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Solution

The fourth proportional to 9,992.38, 13,790.10 and 5,744.80 is: 7,928.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.38 : 13,790.10 = 5,744.80 : x
  2. Step 2: Convert to fraction form
    9,992.38/13,790.10 = 5,744.80/x
  3. Step 3: Cross multiply
    9,992.38x = 13,790.10 × 5,744.80
  4. Step 4: Simplify right side
    9,992.38x = 79,221,366.48
  5. Step 5: Solve for x
    x = 79,221,366.48/9,992.38
  6. Step 6: Final answer
    x = 7,928.18

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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.