Home / 2,127.96-3,192.30-829.50

Finding the Fourth Proportional to 2,127.96, 3,192.30 and 829.50

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Solution

The fourth proportional to 2,127.96, 3,192.30 and 829.50 is: 1,244.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.96 : 3,192.30 = 829.50 : x
  2. Step 2: Convert to fraction form
    2,127.96/3,192.30 = 829.50/x
  3. Step 3: Cross multiply
    2,127.96x = 3,192.30 × 829.50
  4. Step 4: Simplify right side
    2,127.96x = 2,648,012.85
  5. Step 5: Solve for x
    x = 2,648,012.85/2,127.96
  6. Step 6: Final answer
    x = 1,244.39

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1.5x scale

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.