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Finding the Fourth Proportional to 5,598.38, 7,725.80 and 3,080.65

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Solution

The fourth proportional to 5,598.38, 7,725.80 and 3,080.65 is: 4,251.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,598.38 : 7,725.80 = 3,080.65 : x
  2. Step 2: Convert to fraction form
    5,598.38/7,725.80 = 3,080.65/x
  3. Step 3: Cross multiply
    5,598.38x = 7,725.80 × 3,080.65
  4. Step 4: Simplify right side
    5,598.38x = 23,800,485.77
  5. Step 5: Solve for x
    x = 23,800,485.77/5,598.38
  6. Step 6: Final answer
    x = 4,251.32

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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.