Home / 1,611.27-2,416.85-869.74

Finding the Fourth Proportional to 1,611.27, 2,416.85 and 869.74

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Solution

The fourth proportional to 1,611.27, 2,416.85 and 869.74 is: 1,304.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.27 : 2,416.85 = 869.74 : x
  2. Step 2: Convert to fraction form
    1,611.27/2,416.85 = 869.74/x
  3. Step 3: Cross multiply
    1,611.27x = 2,416.85 × 869.74
  4. Step 4: Simplify right side
    1,611.27x = 2,102,020.73
  5. Step 5: Solve for x
    x = 2,102,020.73/1,611.27
  6. Step 6: Final answer
    x = 1,304.57

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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.