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Finding the Fourth Proportional to 1,777.53, 2,660.97 and 1,282.82

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Solution

The fourth proportional to 1,777.53, 2,660.97 and 1,282.82 is: 1,920.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.53 : 2,660.97 = 1,282.82 : x
  2. Step 2: Convert to fraction form
    1,777.53/2,660.97 = 1,282.82/x
  3. Step 3: Cross multiply
    1,777.53x = 2,660.97 × 1,282.82
  4. Step 4: Simplify right side
    1,777.53x = 3,413,552.19
  5. Step 5: Solve for x
    x = 3,413,552.19/1,777.53
  6. Step 6: Final answer
    x = 1,920.39

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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.