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Finding the Fourth Proportional to 2,272.40, 3,405.40 and 1,682.80

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Solution

The fourth proportional to 2,272.40, 3,405.40 and 1,682.80 is: 2,521.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.40 : 3,405.40 = 1,682.80 : x
  2. Step 2: Convert to fraction form
    2,272.40/3,405.40 = 1,682.80/x
  3. Step 3: Cross multiply
    2,272.40x = 3,405.40 × 1,682.80
  4. Step 4: Simplify right side
    2,272.40x = 5,730,607.12
  5. Step 5: Solve for x
    x = 5,730,607.12/2,272.40
  6. Step 6: Final answer
    x = 2,521.83

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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.