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Finding the Fourth Proportional to 3,659.44, 5,485.23 and 1,580.43

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Solution

The fourth proportional to 3,659.44, 5,485.23 and 1,580.43 is: 2,368.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.44 : 5,485.23 = 1,580.43 : x
  2. Step 2: Convert to fraction form
    3,659.44/5,485.23 = 1,580.43/x
  3. Step 3: Cross multiply
    3,659.44x = 5,485.23 × 1,580.43
  4. Step 4: Simplify right side
    3,659.44x = 8,669,013.20
  5. Step 5: Solve for x
    x = 8,669,013.20/3,659.44
  6. Step 6: Final answer
    x = 2,368.94

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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.