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Finding the Fourth Proportional to 2,536.40, 3,805.20 and 805.04

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Solution

The fourth proportional to 2,536.40, 3,805.20 and 805.04 is: 1,207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.40 : 3,805.20 = 805.04 : x
  2. Step 2: Convert to fraction form
    2,536.40/3,805.20 = 805.04/x
  3. Step 3: Cross multiply
    2,536.40x = 3,805.20 × 805.04
  4. Step 4: Simplify right side
    2,536.40x = 3,063,338.21
  5. Step 5: Solve for x
    x = 3,063,338.21/2,536.40
  6. Step 6: Final answer
    x = 1,207.75

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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.