Home / 2,102.14-3,153.20-869.20

Finding the Fourth Proportional to 2,102.14, 3,153.20 and 869.20

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Solution

The fourth proportional to 2,102.14, 3,153.20 and 869.20 is: 1,303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.14 : 3,153.20 = 869.20 : x
  2. Step 2: Convert to fraction form
    2,102.14/3,153.20 = 869.20/x
  3. Step 3: Cross multiply
    2,102.14x = 3,153.20 × 869.20
  4. Step 4: Simplify right side
    2,102.14x = 2,740,761.44
  5. Step 5: Solve for x
    x = 2,740,761.44/2,102.14
  6. Step 6: Final answer
    x = 1,303.80

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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.