Home / 1,582.82-2,363.14-1,427.30

Finding the Fourth Proportional to 1,582.82, 2,363.14 and 1,427.30

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Solution

The fourth proportional to 1,582.82, 2,363.14 and 1,427.30 is: 2,130.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.82 : 2,363.14 = 1,427.30 : x
  2. Step 2: Convert to fraction form
    1,582.82/2,363.14 = 1,427.30/x
  3. Step 3: Cross multiply
    1,582.82x = 2,363.14 × 1,427.30
  4. Step 4: Simplify right side
    1,582.82x = 3,372,912.06
  5. Step 5: Solve for x
    x = 3,372,912.06/1,582.82
  6. Step 6: Final answer
    x = 2,130.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.