Home / 1,909.24-2,863.84-869.60

Finding the Fourth Proportional to 1,909.24, 2,863.84 and 869.60

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Solution

The fourth proportional to 1,909.24, 2,863.84 and 869.60 is: 1,304.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.24 : 2,863.84 = 869.60 : x
  2. Step 2: Convert to fraction form
    1,909.24/2,863.84 = 869.60/x
  3. Step 3: Cross multiply
    1,909.24x = 2,863.84 × 869.60
  4. Step 4: Simplify right side
    1,909.24x = 2,490,395.26
  5. Step 5: Solve for x
    x = 2,490,395.26/1,909.24
  6. Step 6: Final answer
    x = 1,304.39

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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.