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Finding the Fourth Proportional to 2,576.83, 3,859.03 and 1,649.56

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Solution

The fourth proportional to 2,576.83, 3,859.03 and 1,649.56 is: 2,470.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.83 : 3,859.03 = 1,649.56 : x
  2. Step 2: Convert to fraction form
    2,576.83/3,859.03 = 1,649.56/x
  3. Step 3: Cross multiply
    2,576.83x = 3,859.03 × 1,649.56
  4. Step 4: Simplify right side
    2,576.83x = 6,365,701.53
  5. Step 5: Solve for x
    x = 6,365,701.53/2,576.83
  6. Step 6: Final answer
    x = 2,470.36

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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.