Home / 1,649.40-2,469.06-1,542.84

Finding the Fourth Proportional to 1,649.40, 2,469.06 and 1,542.84

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Solution

The fourth proportional to 1,649.40, 2,469.06 and 1,542.84 is: 2,309.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.40 : 2,469.06 = 1,542.84 : x
  2. Step 2: Convert to fraction form
    1,649.40/2,469.06 = 1,542.84/x
  3. Step 3: Cross multiply
    1,649.40x = 2,469.06 × 1,542.84
  4. Step 4: Simplify right side
    1,649.40x = 3,809,364.53
  5. Step 5: Solve for x
    x = 3,809,364.53/1,649.40
  6. Step 6: Final answer
    x = 2,309.55

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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.