Home / 1,724.14-2,586.49-684.15

Finding the Fourth Proportional to 1,724.14, 2,586.49 and 684.15

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Solution

The fourth proportional to 1,724.14, 2,586.49 and 684.15 is: 1,026.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.14 : 2,586.49 = 684.15 : x
  2. Step 2: Convert to fraction form
    1,724.14/2,586.49 = 684.15/x
  3. Step 3: Cross multiply
    1,724.14x = 2,586.49 × 684.15
  4. Step 4: Simplify right side
    1,724.14x = 1,769,538.29
  5. Step 5: Solve for x
    x = 1,769,538.29/1,724.14
  6. Step 6: Final answer
    x = 1,026.33

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1.5x scale

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.