Home / 1,582.12-2,371.32-1,399.88

Finding the Fourth Proportional to 1,582.12, 2,371.32 and 1,399.88

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Solution

The fourth proportional to 1,582.12, 2,371.32 and 1,399.88 is: 2,098.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.12 : 2,371.32 = 1,399.88 : x
  2. Step 2: Convert to fraction form
    1,582.12/2,371.32 = 1,399.88/x
  3. Step 3: Cross multiply
    1,582.12x = 2,371.32 × 1,399.88
  4. Step 4: Simplify right side
    1,582.12x = 3,319,563.44
  5. Step 5: Solve for x
    x = 3,319,563.44/1,582.12
  6. Step 6: Final answer
    x = 2,098.17

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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.