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Finding the Fourth Proportional to 2,975.99, 4,107.16 and 1,649.82

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Solution

The fourth proportional to 2,975.99, 4,107.16 and 1,649.82 is: 2,276.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.99 : 4,107.16 = 1,649.82 : x
  2. Step 2: Convert to fraction form
    2,975.99/4,107.16 = 1,649.82/x
  3. Step 3: Cross multiply
    2,975.99x = 4,107.16 × 1,649.82
  4. Step 4: Simplify right side
    2,975.99x = 6,776,059.79
  5. Step 5: Solve for x
    x = 6,776,059.79/2,975.99
  6. Step 6: Final answer
    x = 2,276.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.