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Finding the Fourth Proportional to 2,660.94, 3,672.09 and 1,542.53

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Solution

The fourth proportional to 2,660.94, 3,672.09 and 1,542.53 is: 2,128.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.94 : 3,672.09 = 1,542.53 : x
  2. Step 2: Convert to fraction form
    2,660.94/3,672.09 = 1,542.53/x
  3. Step 3: Cross multiply
    2,660.94x = 3,672.09 × 1,542.53
  4. Step 4: Simplify right side
    2,660.94x = 5,664,296.69
  5. Step 5: Solve for x
    x = 5,664,296.69/2,660.94
  6. Step 6: Final answer
    x = 2,128.68

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1.5x scale

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.