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Finding the Fourth Proportional to 2,544.76, 3,817.29 and 813.25

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Solution

The fourth proportional to 2,544.76, 3,817.29 and 813.25 is: 1,219.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.76 : 3,817.29 = 813.25 : x
  2. Step 2: Convert to fraction form
    2,544.76/3,817.29 = 813.25/x
  3. Step 3: Cross multiply
    2,544.76x = 3,817.29 × 813.25
  4. Step 4: Simplify right side
    2,544.76x = 3,104,411.09
  5. Step 5: Solve for x
    x = 3,104,411.09/2,544.76
  6. Step 6: Final answer
    x = 1,219.92

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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.