Home / 2,102.31-3,156.21-1,412.06

Finding the Fourth Proportional to 2,102.31, 3,156.21 and 1,412.06

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Solution

The fourth proportional to 2,102.31, 3,156.21 and 1,412.06 is: 2,119.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.31 : 3,156.21 = 1,412.06 : x
  2. Step 2: Convert to fraction form
    2,102.31/3,156.21 = 1,412.06/x
  3. Step 3: Cross multiply
    2,102.31x = 3,156.21 × 1,412.06
  4. Step 4: Simplify right side
    2,102.31x = 4,456,742.11
  5. Step 5: Solve for x
    x = 4,456,742.11/2,102.31
  6. Step 6: Final answer
    x = 2,119.93

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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.