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Finding the Fourth Proportional to 2,142.99, 3,216.24 and 911.79

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Solution

The fourth proportional to 2,142.99, 3,216.24 and 911.79 is: 1,368.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.99 : 3,216.24 = 911.79 : x
  2. Step 2: Convert to fraction form
    2,142.99/3,216.24 = 911.79/x
  3. Step 3: Cross multiply
    2,142.99x = 3,216.24 × 911.79
  4. Step 4: Simplify right side
    2,142.99x = 2,932,535.47
  5. Step 5: Solve for x
    x = 2,932,535.47/2,142.99
  6. Step 6: Final answer
    x = 1,368.43

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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.