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Finding the Fourth Proportional to 2,666.21, 3,998.86 and 717.98

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Solution

The fourth proportional to 2,666.21, 3,998.86 and 717.98 is: 1,076.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.21 : 3,998.86 = 717.98 : x
  2. Step 2: Convert to fraction form
    2,666.21/3,998.86 = 717.98/x
  3. Step 3: Cross multiply
    2,666.21x = 3,998.86 × 717.98
  4. Step 4: Simplify right side
    2,666.21x = 2,871,101.50
  5. Step 5: Solve for x
    x = 2,871,101.50/2,666.21
  6. Step 6: Final answer
    x = 1,076.85

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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.