Home / 1,589.16-2,382.92-931.28

Finding the Fourth Proportional to 1,589.16, 2,382.92 and 931.28

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Solution

The fourth proportional to 1,589.16, 2,382.92 and 931.28 is: 1,396.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.16 : 2,382.92 = 931.28 : x
  2. Step 2: Convert to fraction form
    1,589.16/2,382.92 = 931.28/x
  3. Step 3: Cross multiply
    1,589.16x = 2,382.92 × 931.28
  4. Step 4: Simplify right side
    1,589.16x = 2,219,165.74
  5. Step 5: Solve for x
    x = 2,219,165.74/1,589.16
  6. Step 6: Final answer
    x = 1,396.44

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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.