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Finding the Fourth Proportional to 3,754.80, 5,628.96 and 1,804.32

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Solution

The fourth proportional to 3,754.80, 5,628.96 and 1,804.32 is: 2,704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.80 : 5,628.96 = 1,804.32 : x
  2. Step 2: Convert to fraction form
    3,754.80/5,628.96 = 1,804.32/x
  3. Step 3: Cross multiply
    3,754.80x = 5,628.96 × 1,804.32
  4. Step 4: Simplify right side
    3,754.80x = 10,156,445.11
  5. Step 5: Solve for x
    x = 10,156,445.11/3,754.80
  6. Step 6: Final answer
    x = 2,704.92

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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.