Home / 1,589.14-2,382.24-857.86

Finding the Fourth Proportional to 1,589.14, 2,382.24 and 857.86

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Solution

The fourth proportional to 1,589.14, 2,382.24 and 857.86 is: 1,286.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.14 : 2,382.24 = 857.86 : x
  2. Step 2: Convert to fraction form
    1,589.14/2,382.24 = 857.86/x
  3. Step 3: Cross multiply
    1,589.14x = 2,382.24 × 857.86
  4. Step 4: Simplify right side
    1,589.14x = 2,043,628.41
  5. Step 5: Solve for x
    x = 2,043,628.41/1,589.14
  6. Step 6: Final answer
    x = 1,286.00

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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.