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Finding the Fourth Proportional to 3,207.24, 4,811.16 and 898.76

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Solution

The fourth proportional to 3,207.24, 4,811.16 and 898.76 is: 1,348.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.24 : 4,811.16 = 898.76 : x
  2. Step 2: Convert to fraction form
    3,207.24/4,811.16 = 898.76/x
  3. Step 3: Cross multiply
    3,207.24x = 4,811.16 × 898.76
  4. Step 4: Simplify right side
    3,207.24x = 4,324,078.16
  5. Step 5: Solve for x
    x = 4,324,078.16/3,207.24
  6. Step 6: Final answer
    x = 1,348.22

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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.