Home / 2,584.32-3,565.68-1,640.64

Finding the Fourth Proportional to 2,584.32, 3,565.68 and 1,640.64

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Solution

The fourth proportional to 2,584.32, 3,565.68 and 1,640.64 is: 2,263.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.32 : 3,565.68 = 1,640.64 : x
  2. Step 2: Convert to fraction form
    2,584.32/3,565.68 = 1,640.64/x
  3. Step 3: Cross multiply
    2,584.32x = 3,565.68 × 1,640.64
  4. Step 4: Simplify right side
    2,584.32x = 5,849,997.24
  5. Step 5: Solve for x
    x = 5,849,997.24/2,584.32
  6. Step 6: Final answer
    x = 2,263.65

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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.