Home / 2,272.44-3,405.78-972.36

Finding the Fourth Proportional to 2,272.44, 3,405.78 and 972.36

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Solution

The fourth proportional to 2,272.44, 3,405.78 and 972.36 is: 1,457.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.44 : 3,405.78 = 972.36 : x
  2. Step 2: Convert to fraction form
    2,272.44/3,405.78 = 972.36/x
  3. Step 3: Cross multiply
    2,272.44x = 3,405.78 × 972.36
  4. Step 4: Simplify right side
    2,272.44x = 3,311,644.24
  5. Step 5: Solve for x
    x = 3,311,644.24/2,272.44
  6. Step 6: Final answer
    x = 1,457.31

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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.