Home / 1,821.44-2,513.92-1,157.76

Finding the Fourth Proportional to 1,821.44, 2,513.92 and 1,157.76

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Solution

The fourth proportional to 1,821.44, 2,513.92 and 1,157.76 is: 1,597.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.44 : 2,513.92 = 1,157.76 : x
  2. Step 2: Convert to fraction form
    1,821.44/2,513.92 = 1,157.76/x
  3. Step 3: Cross multiply
    1,821.44x = 2,513.92 × 1,157.76
  4. Step 4: Simplify right side
    1,821.44x = 2,910,516.02
  5. Step 5: Solve for x
    x = 2,910,516.02/1,821.44
  6. Step 6: Final answer
    x = 1,597.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.