Home / 1,582.64-2,371.38-1,323.44

Finding the Fourth Proportional to 1,582.64, 2,371.38 and 1,323.44

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Solution

The fourth proportional to 1,582.64, 2,371.38 and 1,323.44 is: 1,983.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.64 : 2,371.38 = 1,323.44 : x
  2. Step 2: Convert to fraction form
    1,582.64/2,371.38 = 1,323.44/x
  3. Step 3: Cross multiply
    1,582.64x = 2,371.38 × 1,323.44
  4. Step 4: Simplify right side
    1,582.64x = 3,138,379.15
  5. Step 5: Solve for x
    x = 3,138,379.15/1,582.64
  6. Step 6: Final answer
    x = 1,983.00

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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.