Home / 5,293.56-7,941.24-1,830

Finding the Fourth Proportional to 5,293.56, 7,941.24 and 1,830

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Solution

The fourth proportional to 5,293.56, 7,941.24 and 1,830 is: 2,745.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.56 : 7,941.24 = 1,830 : x
  2. Step 2: Convert to fraction form
    5,293.56/7,941.24 = 1,830/x
  3. Step 3: Cross multiply
    5,293.56x = 7,941.24 × 1,830
  4. Step 4: Simplify right side
    5,293.56x = 14,532,469.20
  5. Step 5: Solve for x
    x = 14,532,469.20/5,293.56
  6. Step 6: Final answer
    x = 2,745.31

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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.