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Finding the Fourth Proportional to 2,600.76, 3,893.22 and 1,776.12

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Solution

The fourth proportional to 2,600.76, 3,893.22 and 1,776.12 is: 2,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.76 : 3,893.22 = 1,776.12 : x
  2. Step 2: Convert to fraction form
    2,600.76/3,893.22 = 1,776.12/x
  3. Step 3: Cross multiply
    2,600.76x = 3,893.22 × 1,776.12
  4. Step 4: Simplify right side
    2,600.76x = 6,914,825.91
  5. Step 5: Solve for x
    x = 6,914,825.91/2,600.76
  6. Step 6: Final answer
    x = 2,658.77

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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.