Home / 6,142.50-9,213.75-2,038.50

Finding the Fourth Proportional to 6,142.50, 9,213.75 and 2,038.50

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Solution

The fourth proportional to 6,142.50, 9,213.75 and 2,038.50 is: 3,057.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.50 : 9,213.75 = 2,038.50 : x
  2. Step 2: Convert to fraction form
    6,142.50/9,213.75 = 2,038.50/x
  3. Step 3: Cross multiply
    6,142.50x = 9,213.75 × 2,038.50
  4. Step 4: Simplify right side
    6,142.50x = 18,782,229.38
  5. Step 5: Solve for x
    x = 18,782,229.38/6,142.50
  6. Step 6: Final answer
    x = 3,057.75

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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.