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Finding the Fourth Proportional to 7,378.29, 10,179 and 4,863.78

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Solution

The fourth proportional to 7,378.29, 10,179 and 4,863.78 is: 6,710.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.29 : 10,179 = 4,863.78 : x
  2. Step 2: Convert to fraction form
    7,378.29/10,179 = 4,863.78/x
  3. Step 3: Cross multiply
    7,378.29x = 10,179 × 4,863.78
  4. Step 4: Simplify right side
    7,378.29x = 49,508,416.62
  5. Step 5: Solve for x
    x = 49,508,416.62/7,378.29
  6. Step 6: Final answer
    x = 6,710.01

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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.