Home / 2,142.79-3,214.19-1,412.20

Finding the Fourth Proportional to 2,142.79, 3,214.19 and 1,412.20

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Solution

The fourth proportional to 2,142.79, 3,214.19 and 1,412.20 is: 2,118.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.79 : 3,214.19 = 1,412.20 : x
  2. Step 2: Convert to fraction form
    2,142.79/3,214.19 = 1,412.20/x
  3. Step 3: Cross multiply
    2,142.79x = 3,214.19 × 1,412.20
  4. Step 4: Simplify right side
    2,142.79x = 4,539,079.12
  5. Step 5: Solve for x
    x = 4,539,079.12/2,142.79
  6. Step 6: Final answer
    x = 2,118.30

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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.