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Finding the Fourth Proportional to 7,378.91, 10,182.97 and 4,021.82

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Solution

The fourth proportional to 7,378.91, 10,182.97 and 4,021.82 is: 5,550.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.91 : 10,182.97 = 4,021.82 : x
  2. Step 2: Convert to fraction form
    7,378.91/10,182.97 = 4,021.82/x
  3. Step 3: Cross multiply
    7,378.91x = 10,182.97 × 4,021.82
  4. Step 4: Simplify right side
    7,378.91x = 40,954,042.08
  5. Step 5: Solve for x
    x = 40,954,042.08/7,378.91
  6. Step 6: Final answer
    x = 5,550.14

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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.