Home / 2,904.23-4,007.84-1,577.94

Finding the Fourth Proportional to 2,904.23, 4,007.84 and 1,577.94

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Solution

The fourth proportional to 2,904.23, 4,007.84 and 1,577.94 is: 2,177.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.23 : 4,007.84 = 1,577.94 : x
  2. Step 2: Convert to fraction form
    2,904.23/4,007.84 = 1,577.94/x
  3. Step 3: Cross multiply
    2,904.23x = 4,007.84 × 1,577.94
  4. Step 4: Simplify right side
    2,904.23x = 6,324,123.16
  5. Step 5: Solve for x
    x = 6,324,123.16/2,904.23
  6. Step 6: Final answer
    x = 2,177.56

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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.