Home / 2,102.25-3,153.24-869.34

Finding the Fourth Proportional to 2,102.25, 3,153.24 and 869.34

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Solution

The fourth proportional to 2,102.25, 3,153.24 and 869.34 is: 1,303.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.25 : 3,153.24 = 869.34 : x
  2. Step 2: Convert to fraction form
    2,102.25/3,153.24 = 869.34/x
  3. Step 3: Cross multiply
    2,102.25x = 3,153.24 × 869.34
  4. Step 4: Simplify right side
    2,102.25x = 2,741,237.66
  5. Step 5: Solve for x
    x = 2,741,237.66/2,102.25
  6. Step 6: Final answer
    x = 1,303.95

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1.5x scale

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.