Home / 3,102.90-4,282.20-2,053.14

Finding the Fourth Proportional to 3,102.90, 4,282.20 and 2,053.14

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Solution

The fourth proportional to 3,102.90, 4,282.20 and 2,053.14 is: 2,833.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.90 : 4,282.20 = 2,053.14 : x
  2. Step 2: Convert to fraction form
    3,102.90/4,282.20 = 2,053.14/x
  3. Step 3: Cross multiply
    3,102.90x = 4,282.20 × 2,053.14
  4. Step 4: Simplify right side
    3,102.90x = 8,791,956.11
  5. Step 5: Solve for x
    x = 8,791,956.11/3,102.90
  6. Step 6: Final answer
    x = 2,833.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.