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Finding the Fourth Proportional to 2,274.90, 3,412.37 and 813.03

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Solution

The fourth proportional to 2,274.90, 3,412.37 and 813.03 is: 1,219.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.90 : 3,412.37 = 813.03 : x
  2. Step 2: Convert to fraction form
    2,274.90/3,412.37 = 813.03/x
  3. Step 3: Cross multiply
    2,274.90x = 3,412.37 × 813.03
  4. Step 4: Simplify right side
    2,274.90x = 2,774,359.18
  5. Step 5: Solve for x
    x = 2,774,359.18/2,274.90
  6. Step 6: Final answer
    x = 1,219.55

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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.