Home / 2,284.19-3,426.30-724.16

Finding the Fourth Proportional to 2,284.19, 3,426.30 and 724.16

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Solution

The fourth proportional to 2,284.19, 3,426.30 and 724.16 is: 1,086.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.19 : 3,426.30 = 724.16 : x
  2. Step 2: Convert to fraction form
    2,284.19/3,426.30 = 724.16/x
  3. Step 3: Cross multiply
    2,284.19x = 3,426.30 × 724.16
  4. Step 4: Simplify right side
    2,284.19x = 2,481,189.41
  5. Step 5: Solve for x
    x = 2,481,189.41/2,284.19
  6. Step 6: Final answer
    x = 1,086.24

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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.