Home / 2,585.39-3,880.38-1,705.43

Finding the Fourth Proportional to 2,585.39, 3,880.38 and 1,705.43

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Solution

The fourth proportional to 2,585.39, 3,880.38 and 1,705.43 is: 2,559.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.39 : 3,880.38 = 1,705.43 : x
  2. Step 2: Convert to fraction form
    2,585.39/3,880.38 = 1,705.43/x
  3. Step 3: Cross multiply
    2,585.39x = 3,880.38 × 1,705.43
  4. Step 4: Simplify right side
    2,585.39x = 6,617,716.46
  5. Step 5: Solve for x
    x = 6,617,716.46/2,585.39
  6. Step 6: Final answer
    x = 2,559.66

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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.