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Finding the Fourth Proportional to 3,055.47, 4,581.83 and 863.68

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Solution

The fourth proportional to 3,055.47, 4,581.83 and 863.68 is: 1,295.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.47 : 4,581.83 = 863.68 : x
  2. Step 2: Convert to fraction form
    3,055.47/4,581.83 = 863.68/x
  3. Step 3: Cross multiply
    3,055.47x = 4,581.83 × 863.68
  4. Step 4: Simplify right side
    3,055.47x = 3,957,234.93
  5. Step 5: Solve for x
    x = 3,957,234.93/3,055.47
  6. Step 6: Final answer
    x = 1,295.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.