Home / 2,802.12-4,200.12-1,414.68

Finding the Fourth Proportional to 2,802.12, 4,200.12 and 1,414.68

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Solution

The fourth proportional to 2,802.12, 4,200.12 and 1,414.68 is: 2,120.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.12 : 4,200.12 = 1,414.68 : x
  2. Step 2: Convert to fraction form
    2,802.12/4,200.12 = 1,414.68/x
  3. Step 3: Cross multiply
    2,802.12x = 4,200.12 × 1,414.68
  4. Step 4: Simplify right side
    2,802.12x = 5,941,825.76
  5. Step 5: Solve for x
    x = 5,941,825.76/2,802.12
  6. Step 6: Final answer
    x = 2,120.48

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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.