Home / 2,127.70-3,191.54-829.17

Finding the Fourth Proportional to 2,127.70, 3,191.54 and 829.17

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Solution

The fourth proportional to 2,127.70, 3,191.54 and 829.17 is: 1,243.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.70 : 3,191.54 = 829.17 : x
  2. Step 2: Convert to fraction form
    2,127.70/3,191.54 = 829.17/x
  3. Step 3: Cross multiply
    2,127.70x = 3,191.54 × 829.17
  4. Step 4: Simplify right side
    2,127.70x = 2,646,329.22
  5. Step 5: Solve for x
    x = 2,646,329.22/2,127.70
  6. Step 6: Final answer
    x = 1,243.75

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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.