Home / 2,102.27-3,153.06-869.22

Finding the Fourth Proportional to 2,102.27, 3,153.06 and 869.22

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Solution

The fourth proportional to 2,102.27, 3,153.06 and 869.22 is: 1,303.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.27 : 3,153.06 = 869.22 : x
  2. Step 2: Convert to fraction form
    2,102.27/3,153.06 = 869.22/x
  3. Step 3: Cross multiply
    2,102.27x = 3,153.06 × 869.22
  4. Step 4: Simplify right side
    2,102.27x = 2,740,702.81
  5. Step 5: Solve for x
    x = 2,740,702.81/2,102.27
  6. Step 6: Final answer
    x = 1,303.69

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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.