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Finding the Fourth Proportional to 3,155.12, 4,733.50 and 963.87

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Solution

The fourth proportional to 3,155.12, 4,733.50 and 963.87 is: 1,446.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.12 : 4,733.50 = 963.87 : x
  2. Step 2: Convert to fraction form
    3,155.12/4,733.50 = 963.87/x
  3. Step 3: Cross multiply
    3,155.12x = 4,733.50 × 963.87
  4. Step 4: Simplify right side
    3,155.12x = 4,562,478.65
  5. Step 5: Solve for x
    x = 4,562,478.65/3,155.12
  6. Step 6: Final answer
    x = 1,446.06

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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.