Home / 1,782.27-2,671.80-686.37

Finding the Fourth Proportional to 1,782.27, 2,671.80 and 686.37

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Solution

The fourth proportional to 1,782.27, 2,671.80 and 686.37 is: 1,028.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.27 : 2,671.80 = 686.37 : x
  2. Step 2: Convert to fraction form
    1,782.27/2,671.80 = 686.37/x
  3. Step 3: Cross multiply
    1,782.27x = 2,671.80 × 686.37
  4. Step 4: Simplify right side
    1,782.27x = 1,833,843.37
  5. Step 5: Solve for x
    x = 1,833,843.37/1,782.27
  6. Step 6: Final answer
    x = 1,028.94

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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.