Home / 1,724.64-2,584.24-1,074.40

Finding the Fourth Proportional to 1,724.64, 2,584.24 and 1,074.40

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Solution

The fourth proportional to 1,724.64, 2,584.24 and 1,074.40 is: 1,609.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.64 : 2,584.24 = 1,074.40 : x
  2. Step 2: Convert to fraction form
    1,724.64/2,584.24 = 1,074.40/x
  3. Step 3: Cross multiply
    1,724.64x = 2,584.24 × 1,074.40
  4. Step 4: Simplify right side
    1,724.64x = 2,776,507.46
  5. Step 5: Solve for x
    x = 2,776,507.46/1,724.64
  6. Step 6: Final answer
    x = 1,609.91

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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.