Home / 1,684.64-2,320.44-1,311.59

Finding the Fourth Proportional to 1,684.64, 2,320.44 and 1,311.59

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Solution

The fourth proportional to 1,684.64, 2,320.44 and 1,311.59 is: 1,806.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.64 : 2,320.44 = 1,311.59 : x
  2. Step 2: Convert to fraction form
    1,684.64/2,320.44 = 1,311.59/x
  3. Step 3: Cross multiply
    1,684.64x = 2,320.44 × 1,311.59
  4. Step 4: Simplify right side
    1,684.64x = 3,043,465.90
  5. Step 5: Solve for x
    x = 3,043,465.90/1,684.64
  6. Step 6: Final answer
    x = 1,806.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.