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Finding the Fourth Proportional to 2,412.50, 3,619.11 and 873.86

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Solution

The fourth proportional to 2,412.50, 3,619.11 and 873.86 is: 1,310.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.50 : 3,619.11 = 873.86 : x
  2. Step 2: Convert to fraction form
    2,412.50/3,619.11 = 873.86/x
  3. Step 3: Cross multiply
    2,412.50x = 3,619.11 × 873.86
  4. Step 4: Simplify right side
    2,412.50x = 3,162,595.46
  5. Step 5: Solve for x
    x = 3,162,595.46/2,412.50
  6. Step 6: Final answer
    x = 1,310.92

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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.